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Finding the Third Proportional to 54,560 and 117,463

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Solution

The third proportional to 54,560 and 117,463 is: 252,887.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,560 : 117,463 = 117,463 : x
  2. Step 2: Convert to fraction form
    54,560/117,463 = 117,463/x
  3. Step 3: Cross multiply
    54,560x = 117,463 × 117,463
  4. Step 4: Simplify right side
    54,560x = 13,797,556,369
  5. Step 5: Solve for x
    x = 13,797,556,369/54,560
  6. Step 6: Final answer
    x = 252,887.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.