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Finding the Third Proportional to 54,414.75 and 114,337.75

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Solution

The third proportional to 54,414.75 and 114,337.75 is: 240,249.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,414.75 : 114,337.75 = 114,337.75 : x
  2. Step 2: Convert to fraction form
    54,414.75/114,337.75 = 114,337.75/x
  3. Step 3: Cross multiply
    54,414.75x = 114,337.75 × 114,337.75
  4. Step 4: Simplify right side
    54,414.75x = 13,073,121,075.06
  5. Step 5: Solve for x
    x = 13,073,121,075.06/54,414.75
  6. Step 6: Final answer
    x = 240,249.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.