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Finding the Third Proportional to 41,687 and 91,281

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Solution

The third proportional to 41,687 and 91,281 is: 199,875.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,687 : 91,281 = 91,281 : x
  2. Step 2: Convert to fraction form
    41,687/91,281 = 91,281/x
  3. Step 3: Cross multiply
    41,687x = 91,281 × 91,281
  4. Step 4: Simplify right side
    41,687x = 8,332,220,961
  5. Step 5: Solve for x
    x = 8,332,220,961/41,687
  6. Step 6: Final answer
    x = 199,875.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.