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Finding the Third Proportional to 48,375.50 and 113,828.75

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Solution

The third proportional to 48,375.50 and 113,828.75 is: 267,841.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,375.50 : 113,828.75 = 113,828.75 : x
  2. Step 2: Convert to fraction form
    48,375.50/113,828.75 = 113,828.75/x
  3. Step 3: Cross multiply
    48,375.50x = 113,828.75 × 113,828.75
  4. Step 4: Simplify right side
    48,375.50x = 12,956,984,326.56
  5. Step 5: Solve for x
    x = 12,956,984,326.56/48,375.50
  6. Step 6: Final answer
    x = 267,841.87

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.