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Finding the Third Proportional to 59,604.75 and 126,317.25

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Solution

The third proportional to 59,604.75 and 126,317.25 is: 267,697.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,604.75 : 126,317.25 = 126,317.25 : x
  2. Step 2: Convert to fraction form
    59,604.75/126,317.25 = 126,317.25/x
  3. Step 3: Cross multiply
    59,604.75x = 126,317.25 × 126,317.25
  4. Step 4: Simplify right side
    59,604.75x = 15,956,047,647.56
  5. Step 5: Solve for x
    x = 15,956,047,647.56/59,604.75
  6. Step 6: Final answer
    x = 267,697.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.