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Finding the Third Proportional to 32,092 and 71,660

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Solution

The third proportional to 32,092 and 71,660 is: 160,013.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,092 : 71,660 = 71,660 : x
  2. Step 2: Convert to fraction form
    32,092/71,660 = 71,660/x
  3. Step 3: Cross multiply
    32,092x = 71,660 × 71,660
  4. Step 4: Simplify right side
    32,092x = 5,135,155,600
  5. Step 5: Solve for x
    x = 5,135,155,600/32,092
  6. Step 6: Final answer
    x = 160,013.57

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.