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Finding the Third Proportional to 83,074 and 124,717

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Solution

The third proportional to 83,074 and 124,717 is: 187,234.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,074 : 124,717 = 124,717 : x
  2. Step 2: Convert to fraction form
    83,074/124,717 = 124,717/x
  3. Step 3: Cross multiply
    83,074x = 124,717 × 124,717
  4. Step 4: Simplify right side
    83,074x = 15,554,330,089
  5. Step 5: Solve for x
    x = 15,554,330,089/83,074
  6. Step 6: Final answer
    x = 187,234.64

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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.