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Finding the Third Proportional to 41,160 and 88,561

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Solution

The third proportional to 41,160 and 88,561 is: 190,550.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,160 : 88,561 = 88,561 : x
  2. Step 2: Convert to fraction form
    41,160/88,561 = 88,561/x
  3. Step 3: Cross multiply
    41,160x = 88,561 × 88,561
  4. Step 4: Simplify right side
    41,160x = 7,843,050,721
  5. Step 5: Solve for x
    x = 7,843,050,721/41,160
  6. Step 6: Final answer
    x = 190,550.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.