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Finding the Third Proportional to 122,454.28 and 189,142.59

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Solution

The third proportional to 122,454.28 and 189,142.59 is: 292,149.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,454.28 : 189,142.59 = 189,142.59 : x
  2. Step 2: Convert to fraction form
    122,454.28/189,142.59 = 189,142.59/x
  3. Step 3: Cross multiply
    122,454.28x = 189,142.59 × 189,142.59
  4. Step 4: Simplify right side
    122,454.28x = 35,774,920,770.48
  5. Step 5: Solve for x
    x = 35,774,920,770.48/122,454.28
  6. Step 6: Final answer
    x = 292,149.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.