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Finding the Third Proportional to 45,321.75 and 71,988.75

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Solution

The third proportional to 45,321.75 and 71,988.75 is: 114,346.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,321.75 : 71,988.75 = 71,988.75 : x
  2. Step 2: Convert to fraction form
    45,321.75/71,988.75 = 71,988.75/x
  3. Step 3: Cross multiply
    45,321.75x = 71,988.75 × 71,988.75
  4. Step 4: Simplify right side
    45,321.75x = 5,182,380,126.56
  5. Step 5: Solve for x
    x = 5,182,380,126.56/45,321.75
  6. Step 6: Final answer
    x = 114,346.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.