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Finding the Third Proportional to 74,701.50 and 161,849

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Solution

The third proportional to 74,701.50 and 161,849 is: 350,663.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,701.50 : 161,849 = 161,849 : x
  2. Step 2: Convert to fraction form
    74,701.50/161,849 = 161,849/x
  3. Step 3: Cross multiply
    74,701.50x = 161,849 × 161,849
  4. Step 4: Simplify right side
    74,701.50x = 26,195,098,801
  5. Step 5: Solve for x
    x = 26,195,098,801/74,701.50
  6. Step 6: Final answer
    x = 350,663.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.