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Finding the Third Proportional to 41,097 and 88,619

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Solution

The third proportional to 41,097 and 88,619 is: 191,092.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,097 : 88,619 = 88,619 : x
  2. Step 2: Convert to fraction form
    41,097/88,619 = 88,619/x
  3. Step 3: Cross multiply
    41,097x = 88,619 × 88,619
  4. Step 4: Simplify right side
    41,097x = 7,853,327,161
  5. Step 5: Solve for x
    x = 7,853,327,161/41,097
  6. Step 6: Final answer
    x = 191,092.47

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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.