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Finding the Third Proportional to 72,920 and 153,472

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Solution

The third proportional to 72,920 and 153,472 is: 323,006.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,920 : 153,472 = 153,472 : x
  2. Step 2: Convert to fraction form
    72,920/153,472 = 153,472/x
  3. Step 3: Cross multiply
    72,920x = 153,472 × 153,472
  4. Step 4: Simplify right side
    72,920x = 23,553,654,784
  5. Step 5: Solve for x
    x = 23,553,654,784/72,920
  6. Step 6: Final answer
    x = 323,006.79

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.