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Finding the Third Proportional to 62,042 and 129,328

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Solution

The third proportional to 62,042 and 129,328 is: 269,587.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,042 : 129,328 = 129,328 : x
  2. Step 2: Convert to fraction form
    62,042/129,328 = 129,328/x
  3. Step 3: Cross multiply
    62,042x = 129,328 × 129,328
  4. Step 4: Simplify right side
    62,042x = 16,725,731,584
  5. Step 5: Solve for x
    x = 16,725,731,584/62,042
  6. Step 6: Final answer
    x = 269,587.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.