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Finding the Third Proportional to 54,363 and 119,761

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Solution

The third proportional to 54,363 and 119,761 is: 263,831.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,363 : 119,761 = 119,761 : x
  2. Step 2: Convert to fraction form
    54,363/119,761 = 119,761/x
  3. Step 3: Cross multiply
    54,363x = 119,761 × 119,761
  4. Step 4: Simplify right side
    54,363x = 14,342,697,121
  5. Step 5: Solve for x
    x = 14,342,697,121/54,363
  6. Step 6: Final answer
    x = 263,831.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.