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Finding the Third Proportional to 54,330.75 and 83,963.25

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Solution

The third proportional to 54,330.75 and 83,963.25 is: 129,757.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,330.75 : 83,963.25 = 83,963.25 : x
  2. Step 2: Convert to fraction form
    54,330.75/83,963.25 = 83,963.25/x
  3. Step 3: Cross multiply
    54,330.75x = 83,963.25 × 83,963.25
  4. Step 4: Simplify right side
    54,330.75x = 7,049,827,350.56
  5. Step 5: Solve for x
    x = 7,049,827,350.56/54,330.75
  6. Step 6: Final answer
    x = 129,757.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.