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Finding the Third Proportional to 125,938.13 and 171,001.13

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Solution

The third proportional to 125,938.13 and 171,001.13 is: 232,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,938.13 : 171,001.13 = 171,001.13 : x
  2. Step 2: Convert to fraction form
    125,938.13/171,001.13 = 171,001.13/x
  3. Step 3: Cross multiply
    125,938.13x = 171,001.13 × 171,001.13
  4. Step 4: Simplify right side
    125,938.13x = 29,241,384,751.27
  5. Step 5: Solve for x
    x = 29,241,384,751.27/125,938.13
  6. Step 6: Final answer
    x = 232,188.50

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.