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Finding the Third Proportional to 54,359.44 and 76,550.06

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Solution

The third proportional to 54,359.44 and 76,550.06 is: 107,799.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,359.44 : 76,550.06 = 76,550.06 : x
  2. Step 2: Convert to fraction form
    54,359.44/76,550.06 = 76,550.06/x
  3. Step 3: Cross multiply
    54,359.44x = 76,550.06 × 76,550.06
  4. Step 4: Simplify right side
    54,359.44x = 5,859,912,068.75
  5. Step 5: Solve for x
    x = 5,859,912,068.75/54,359.44
  6. Step 6: Final answer
    x = 107,799.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.