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Finding the Third Proportional to 54,302.25 and 95,724.75

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Solution

The third proportional to 54,302.25 and 95,724.75 is: 168,744.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,302.25 : 95,724.75 = 95,724.75 : x
  2. Step 2: Convert to fraction form
    54,302.25/95,724.75 = 95,724.75/x
  3. Step 3: Cross multiply
    54,302.25x = 95,724.75 × 95,724.75
  4. Step 4: Simplify right side
    54,302.25x = 9,163,227,762.56
  5. Step 5: Solve for x
    x = 9,163,227,762.56/54,302.25
  6. Step 6: Final answer
    x = 168,744.90

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.