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Finding the Third Proportional to 62,834 and 130,042

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Solution

The third proportional to 62,834 and 130,042 is: 269,136.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,834 : 130,042 = 130,042 : x
  2. Step 2: Convert to fraction form
    62,834/130,042 = 130,042/x
  3. Step 3: Cross multiply
    62,834x = 130,042 × 130,042
  4. Step 4: Simplify right side
    62,834x = 16,910,921,764
  5. Step 5: Solve for x
    x = 16,910,921,764/62,834
  6. Step 6: Final answer
    x = 269,136.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.