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Finding the Third Proportional to 60,136 and 129,910

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Solution

The third proportional to 60,136 and 129,910 is: 280,640.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,136 : 129,910 = 129,910 : x
  2. Step 2: Convert to fraction form
    60,136/129,910 = 129,910/x
  3. Step 3: Cross multiply
    60,136x = 129,910 × 129,910
  4. Step 4: Simplify right side
    60,136x = 16,876,608,100
  5. Step 5: Solve for x
    x = 16,876,608,100/60,136
  6. Step 6: Final answer
    x = 280,640.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.