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Finding the Third Proportional to 52,987.50 and 79,481.25

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Solution

The third proportional to 52,987.50 and 79,481.25 is: 119,221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,987.50 : 79,481.25 = 79,481.25 : x
  2. Step 2: Convert to fraction form
    52,987.50/79,481.25 = 79,481.25/x
  3. Step 3: Cross multiply
    52,987.50x = 79,481.25 × 79,481.25
  4. Step 4: Simplify right side
    52,987.50x = 6,317,269,101.56
  5. Step 5: Solve for x
    x = 6,317,269,101.56/52,987.50
  6. Step 6: Final answer
    x = 119,221.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.