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Finding the Third Proportional to 71,412 and 108,972

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Solution

The third proportional to 71,412 and 108,972 is: 166,287.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,412 : 108,972 = 108,972 : x
  2. Step 2: Convert to fraction form
    71,412/108,972 = 108,972/x
  3. Step 3: Cross multiply
    71,412x = 108,972 × 108,972
  4. Step 4: Simplify right side
    71,412x = 11,874,896,784
  5. Step 5: Solve for x
    x = 11,874,896,784/71,412
  6. Step 6: Final answer
    x = 166,287.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.