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Finding the Third Proportional to 83,047 and 124,449

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Solution

The third proportional to 83,047 and 124,449 is: 186,491.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,047 : 124,449 = 124,449 : x
  2. Step 2: Convert to fraction form
    83,047/124,449 = 124,449/x
  3. Step 3: Cross multiply
    83,047x = 124,449 × 124,449
  4. Step 4: Simplify right side
    83,047x = 15,487,553,601
  5. Step 5: Solve for x
    x = 15,487,553,601/83,047
  6. Step 6: Final answer
    x = 186,491.43

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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.