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Finding the Third Proportional to 49,687 and 74,341

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Solution

The third proportional to 49,687 and 74,341 is: 111,227.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,687 : 74,341 = 74,341 : x
  2. Step 2: Convert to fraction form
    49,687/74,341 = 74,341/x
  3. Step 3: Cross multiply
    49,687x = 74,341 × 74,341
  4. Step 4: Simplify right side
    49,687x = 5,526,584,281
  5. Step 5: Solve for x
    x = 5,526,584,281/49,687
  6. Step 6: Final answer
    x = 111,227.97

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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.