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Finding the Third Proportional to 83,031 and 124,647

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Solution

The third proportional to 83,031 and 124,647 is: 187,121.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,031 : 124,647 = 124,647 : x
  2. Step 2: Convert to fraction form
    83,031/124,647 = 124,647/x
  3. Step 3: Cross multiply
    83,031x = 124,647 × 124,647
  4. Step 4: Simplify right side
    83,031x = 15,536,874,609
  5. Step 5: Solve for x
    x = 15,536,874,609/83,031
  6. Step 6: Final answer
    x = 187,121.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.