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Finding the Third Proportional to 59,147.44 and 129,000.75

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Solution

The third proportional to 59,147.44 and 129,000.75 is: 281,351.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,147.44 : 129,000.75 = 129,000.75 : x
  2. Step 2: Convert to fraction form
    59,147.44/129,000.75 = 129,000.75/x
  3. Step 3: Cross multiply
    59,147.44x = 129,000.75 × 129,000.75
  4. Step 4: Simplify right side
    59,147.44x = 16,641,193,500.56
  5. Step 5: Solve for x
    x = 16,641,193,500.56/59,147.44
  6. Step 6: Final answer
    x = 281,351.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.