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Finding the Third Proportional to 70,331 and 151,660

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Solution

The third proportional to 70,331 and 151,660 is: 327,035.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,331 : 151,660 = 151,660 : x
  2. Step 2: Convert to fraction form
    70,331/151,660 = 151,660/x
  3. Step 3: Cross multiply
    70,331x = 151,660 × 151,660
  4. Step 4: Simplify right side
    70,331x = 23,000,755,600
  5. Step 5: Solve for x
    x = 23,000,755,600/70,331
  6. Step 6: Final answer
    x = 327,035.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.