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Finding the Third Proportional to 54,876 and 117,552

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Solution

The third proportional to 54,876 and 117,552 is: 251,812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,876 : 117,552 = 117,552 : x
  2. Step 2: Convert to fraction form
    54,876/117,552 = 117,552/x
  3. Step 3: Cross multiply
    54,876x = 117,552 × 117,552
  4. Step 4: Simplify right side
    54,876x = 13,818,472,704
  5. Step 5: Solve for x
    x = 13,818,472,704/54,876
  6. Step 6: Final answer
    x = 251,812.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.