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Finding the Third Proportional to 48,882 and 75,568

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Solution

The third proportional to 48,882 and 75,568 is: 116,822.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,882 : 75,568 = 75,568 : x
  2. Step 2: Convert to fraction form
    48,882/75,568 = 75,568/x
  3. Step 3: Cross multiply
    48,882x = 75,568 × 75,568
  4. Step 4: Simplify right side
    48,882x = 5,710,522,624
  5. Step 5: Solve for x
    x = 5,710,522,624/48,882
  6. Step 6: Final answer
    x = 116,822.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.