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Finding the Third Proportional to 83,584 and 125,376

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Solution

The third proportional to 83,584 and 125,376 is: 188,064

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,584 : 125,376 = 125,376 : x
  2. Step 2: Convert to fraction form
    83,584/125,376 = 125,376/x
  3. Step 3: Cross multiply
    83,584x = 125,376 × 125,376
  4. Step 4: Simplify right side
    83,584x = 15,719,141,376
  5. Step 5: Solve for x
    x = 15,719,141,376/83,584
  6. Step 6: Final answer
    x = 188,064

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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.