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Finding the Third Proportional to 62,829 and 131,853

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Solution

The third proportional to 62,829 and 131,853 is: 276,706.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,829 : 131,853 = 131,853 : x
  2. Step 2: Convert to fraction form
    62,829/131,853 = 131,853/x
  3. Step 3: Cross multiply
    62,829x = 131,853 × 131,853
  4. Step 4: Simplify right side
    62,829x = 17,385,213,609
  5. Step 5: Solve for x
    x = 17,385,213,609/62,829
  6. Step 6: Final answer
    x = 276,706.83

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.