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Finding the Third Proportional to 32,542 and 71,051

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Solution

The third proportional to 32,542 and 71,051 is: 155,130.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,542 : 71,051 = 71,051 : x
  2. Step 2: Convert to fraction form
    32,542/71,051 = 71,051/x
  3. Step 3: Cross multiply
    32,542x = 71,051 × 71,051
  4. Step 4: Simplify right side
    32,542x = 5,048,244,601
  5. Step 5: Solve for x
    x = 5,048,244,601/32,542
  6. Step 6: Final answer
    x = 155,130.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.