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Finding the Third Proportional to 58,342 and 85,567

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Solution

The third proportional to 58,342 and 85,567 is: 125,496.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,342 : 85,567 = 85,567 : x
  2. Step 2: Convert to fraction form
    58,342/85,567 = 85,567/x
  3. Step 3: Cross multiply
    58,342x = 85,567 × 85,567
  4. Step 4: Simplify right side
    58,342x = 7,321,711,489
  5. Step 5: Solve for x
    x = 7,321,711,489/58,342
  6. Step 6: Final answer
    x = 125,496.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.