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Finding the Third Proportional to 83,439 and 132,663

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Solution

The third proportional to 83,439 and 132,663 is: 210,926.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,439 : 132,663 = 132,663 : x
  2. Step 2: Convert to fraction form
    83,439/132,663 = 132,663/x
  3. Step 3: Cross multiply
    83,439x = 132,663 × 132,663
  4. Step 4: Simplify right side
    83,439x = 17,599,471,569
  5. Step 5: Solve for x
    x = 17,599,471,569/83,439
  6. Step 6: Final answer
    x = 210,926.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.