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Finding the Third Proportional to 122,456 and 189,146

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Solution

The third proportional to 122,456 and 189,146 is: 292,155.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,456 : 189,146 = 189,146 : x
  2. Step 2: Convert to fraction form
    122,456/189,146 = 189,146/x
  3. Step 3: Cross multiply
    122,456x = 189,146 × 189,146
  4. Step 4: Simplify right side
    122,456x = 35,776,209,316
  5. Step 5: Solve for x
    x = 35,776,209,316/122,456
  6. Step 6: Final answer
    x = 292,155.63

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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.