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Finding the Third Proportional to 54,778.50 and 78,279.75

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Solution

The third proportional to 54,778.50 and 78,279.75 is: 111,863.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,778.50 : 78,279.75 = 78,279.75 : x
  2. Step 2: Convert to fraction form
    54,778.50/78,279.75 = 78,279.75/x
  3. Step 3: Cross multiply
    54,778.50x = 78,279.75 × 78,279.75
  4. Step 4: Simplify right side
    54,778.50x = 6,127,719,260.06
  5. Step 5: Solve for x
    x = 6,127,719,260.06/54,778.50
  6. Step 6: Final answer
    x = 111,863.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.