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Finding the Third Proportional to 41,448 and 89,376

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Solution

The third proportional to 41,448 and 89,376 is: 192,725.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,448 : 89,376 = 89,376 : x
  2. Step 2: Convert to fraction form
    41,448/89,376 = 89,376/x
  3. Step 3: Cross multiply
    41,448x = 89,376 × 89,376
  4. Step 4: Simplify right side
    41,448x = 7,988,069,376
  5. Step 5: Solve for x
    x = 7,988,069,376/41,448
  6. Step 6: Final answer
    x = 192,725.09

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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.