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Finding the Third Proportional to 48,399.75 and 113,871.38

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Solution

The third proportional to 48,399.75 and 113,871.38 is: 267,908.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,399.75 : 113,871.38 = 113,871.38 : x
  2. Step 2: Convert to fraction form
    48,399.75/113,871.38 = 113,871.38/x
  3. Step 3: Cross multiply
    48,399.75x = 113,871.38 × 113,871.38
  4. Step 4: Simplify right side
    48,399.75x = 12,966,690,044.39
  5. Step 5: Solve for x
    x = 12,966,690,044.39/48,399.75
  6. Step 6: Final answer
    x = 267,908.20

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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.