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Finding the Third Proportional to 49,204 and 78,331

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Solution

The third proportional to 49,204 and 78,331 is: 124,700.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,204 : 78,331 = 78,331 : x
  2. Step 2: Convert to fraction form
    49,204/78,331 = 78,331/x
  3. Step 3: Cross multiply
    49,204x = 78,331 × 78,331
  4. Step 4: Simplify right side
    49,204x = 6,135,745,561
  5. Step 5: Solve for x
    x = 6,135,745,561/49,204
  6. Step 6: Final answer
    x = 124,700.14

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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.