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Finding the Third Proportional to 41,568 and 88,972

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Solution

The third proportional to 41,568 and 88,972 is: 190,435.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,568 : 88,972 = 88,972 : x
  2. Step 2: Convert to fraction form
    41,568/88,972 = 88,972/x
  3. Step 3: Cross multiply
    41,568x = 88,972 × 88,972
  4. Step 4: Simplify right side
    41,568x = 7,916,016,784
  5. Step 5: Solve for x
    x = 7,916,016,784/41,568
  6. Step 6: Final answer
    x = 190,435.35

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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.