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Finding the Third Proportional to 41,098 and 88,621

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Solution

The third proportional to 41,098 and 88,621 is: 191,096.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,098 : 88,621 = 88,621 : x
  2. Step 2: Convert to fraction form
    41,098/88,621 = 88,621/x
  3. Step 3: Cross multiply
    41,098x = 88,621 × 88,621
  4. Step 4: Simplify right side
    41,098x = 7,853,681,641
  5. Step 5: Solve for x
    x = 7,853,681,641/41,098
  6. Step 6: Final answer
    x = 191,096.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.