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Finding the Third Proportional to 71,502 and 152,499

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Solution

The third proportional to 71,502 and 152,499 is: 325,248.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,502 : 152,499 = 152,499 : x
  2. Step 2: Convert to fraction form
    71,502/152,499 = 152,499/x
  3. Step 3: Cross multiply
    71,502x = 152,499 × 152,499
  4. Step 4: Simplify right side
    71,502x = 23,255,945,001
  5. Step 5: Solve for x
    x = 23,255,945,001/71,502
  6. Step 6: Final answer
    x = 325,248.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.