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Finding the Third Proportional to 83,078 and 124,591

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Solution

The third proportional to 83,078 and 124,591 is: 186,847.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,078 : 124,591 = 124,591 : x
  2. Step 2: Convert to fraction form
    83,078/124,591 = 124,591/x
  3. Step 3: Cross multiply
    83,078x = 124,591 × 124,591
  4. Step 4: Simplify right side
    83,078x = 15,522,917,281
  5. Step 5: Solve for x
    x = 15,522,917,281/83,078
  6. Step 6: Final answer
    x = 186,847.51

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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.