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Finding the Third Proportional to 71,499 and 157,002

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Solution

The third proportional to 71,499 and 157,002 is: 344,754.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,499 : 157,002 = 157,002 : x
  2. Step 2: Convert to fraction form
    71,499/157,002 = 157,002/x
  3. Step 3: Cross multiply
    71,499x = 157,002 × 157,002
  4. Step 4: Simplify right side
    71,499x = 24,649,628,004
  5. Step 5: Solve for x
    x = 24,649,628,004/71,499
  6. Step 6: Final answer
    x = 344,754.86

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.