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Finding the Third Proportional to 122,442.25 and 189,204.50

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Solution

The third proportional to 122,442.25 and 189,204.50 is: 292,369.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,442.25 : 189,204.50 = 189,204.50 : x
  2. Step 2: Convert to fraction form
    122,442.25/189,204.50 = 189,204.50/x
  3. Step 3: Cross multiply
    122,442.25x = 189,204.50 × 189,204.50
  4. Step 4: Simplify right side
    122,442.25x = 35,798,342,820.25
  5. Step 5: Solve for x
    x = 35,798,342,820.25/122,442.25
  6. Step 6: Final answer
    x = 292,369.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.