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Finding the Third Proportional to 41,716 and 88,610

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Solution

The third proportional to 41,716 and 88,610 is: 188,218.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,716 : 88,610 = 88,610 : x
  2. Step 2: Convert to fraction form
    41,716/88,610 = 88,610/x
  3. Step 3: Cross multiply
    41,716x = 88,610 × 88,610
  4. Step 4: Simplify right side
    41,716x = 7,851,732,100
  5. Step 5: Solve for x
    x = 7,851,732,100/41,716
  6. Step 6: Final answer
    x = 188,218.72

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.