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Finding the Third Proportional to 82,342 and 125,616

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Solution

The third proportional to 82,342 and 125,616 is: 191,632.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,342 : 125,616 = 125,616 : x
  2. Step 2: Convert to fraction form
    82,342/125,616 = 125,616/x
  3. Step 3: Cross multiply
    82,342x = 125,616 × 125,616
  4. Step 4: Simplify right side
    82,342x = 15,779,379,456
  5. Step 5: Solve for x
    x = 15,779,379,456/82,342
  6. Step 6: Final answer
    x = 191,632.21

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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.