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Finding the Third Proportional to 41,548 and 89,720

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Solution

The third proportional to 41,548 and 89,720 is: 193,744.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,548 : 89,720 = 89,720 : x
  2. Step 2: Convert to fraction form
    41,548/89,720 = 89,720/x
  3. Step 3: Cross multiply
    41,548x = 89,720 × 89,720
  4. Step 4: Simplify right side
    41,548x = 8,049,678,400
  5. Step 5: Solve for x
    x = 8,049,678,400/41,548
  6. Step 6: Final answer
    x = 193,744.06

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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.