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Finding the Third Proportional to 41,119 and 88,069

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Solution

The third proportional to 41,119 and 88,069 is: 188,626.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,119 : 88,069 = 88,069 : x
  2. Step 2: Convert to fraction form
    41,119/88,069 = 88,069/x
  3. Step 3: Cross multiply
    41,119x = 88,069 × 88,069
  4. Step 4: Simplify right side
    41,119x = 7,756,148,761
  5. Step 5: Solve for x
    x = 7,756,148,761/41,119
  6. Step 6: Final answer
    x = 188,626.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.