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Finding the Third Proportional to 41,791 and 89,415

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Solution

The third proportional to 41,791 and 89,415 is: 191,310.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,791 : 89,415 = 89,415 : x
  2. Step 2: Convert to fraction form
    41,791/89,415 = 89,415/x
  3. Step 3: Cross multiply
    41,791x = 89,415 × 89,415
  4. Step 4: Simplify right side
    41,791x = 7,995,042,225
  5. Step 5: Solve for x
    x = 7,995,042,225/41,791
  6. Step 6: Final answer
    x = 191,310.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.