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Finding the Third Proportional to 54,882 and 119,808

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Solution

The third proportional to 54,882 and 119,808 is: 261,542.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,882 : 119,808 = 119,808 : x
  2. Step 2: Convert to fraction form
    54,882/119,808 = 119,808/x
  3. Step 3: Cross multiply
    54,882x = 119,808 × 119,808
  4. Step 4: Simplify right side
    54,882x = 14,353,956,864
  5. Step 5: Solve for x
    x = 14,353,956,864/54,882
  6. Step 6: Final answer
    x = 261,542.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.