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Finding the Third Proportional to 54,374.50 and 95,762

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Solution

The third proportional to 54,374.50 and 95,762 is: 168,651.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,374.50 : 95,762 = 95,762 : x
  2. Step 2: Convert to fraction form
    54,374.50/95,762 = 95,762/x
  3. Step 3: Cross multiply
    54,374.50x = 95,762 × 95,762
  4. Step 4: Simplify right side
    54,374.50x = 9,170,360,644
  5. Step 5: Solve for x
    x = 9,170,360,644/54,374.50
  6. Step 6: Final answer
    x = 168,651.86

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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.