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Finding the Third Proportional to 41,154 and 88,716

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Solution

The third proportional to 41,154 and 88,716 is: 191,245.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,154 : 88,716 = 88,716 : x
  2. Step 2: Convert to fraction form
    41,154/88,716 = 88,716/x
  3. Step 3: Cross multiply
    41,154x = 88,716 × 88,716
  4. Step 4: Simplify right side
    41,154x = 7,870,528,656
  5. Step 5: Solve for x
    x = 7,870,528,656/41,154
  6. Step 6: Final answer
    x = 191,245.78

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