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Finding the Third Proportional to 41,888 and 88,624

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Solution

The third proportional to 41,888 and 88,624 is: 187,505.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,888 : 88,624 = 88,624 : x
  2. Step 2: Convert to fraction form
    41,888/88,624 = 88,624/x
  3. Step 3: Cross multiply
    41,888x = 88,624 × 88,624
  4. Step 4: Simplify right side
    41,888x = 7,854,213,376
  5. Step 5: Solve for x
    x = 7,854,213,376/41,888
  6. Step 6: Final answer
    x = 187,505.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.