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Finding the Third Proportional to 54,590.50 and 115,743

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Solution

The third proportional to 54,590.50 and 115,743 is: 245,398.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,590.50 : 115,743 = 115,743 : x
  2. Step 2: Convert to fraction form
    54,590.50/115,743 = 115,743/x
  3. Step 3: Cross multiply
    54,590.50x = 115,743 × 115,743
  4. Step 4: Simplify right side
    54,590.50x = 13,396,442,049
  5. Step 5: Solve for x
    x = 13,396,442,049/54,590.50
  6. Step 6: Final answer
    x = 245,398.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.