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Finding the Third Proportional to 41,569 and 88,986

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Solution

The third proportional to 41,569 and 88,986 is: 190,490.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,569 : 88,986 = 88,986 : x
  2. Step 2: Convert to fraction form
    41,569/88,986 = 88,986/x
  3. Step 3: Cross multiply
    41,569x = 88,986 × 88,986
  4. Step 4: Simplify right side
    41,569x = 7,918,508,196
  5. Step 5: Solve for x
    x = 7,918,508,196/41,569
  6. Step 6: Final answer
    x = 190,490.71

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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.