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Finding the Third Proportional to 48,390.75 and 113,853.38

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Solution

The third proportional to 48,390.75 and 113,853.38 is: 267,873.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,390.75 : 113,853.38 = 113,853.38 : x
  2. Step 2: Convert to fraction form
    48,390.75/113,853.38 = 113,853.38/x
  3. Step 3: Cross multiply
    48,390.75x = 113,853.38 × 113,853.38
  4. Step 4: Simplify right side
    48,390.75x = 12,962,590,998.89
  5. Step 5: Solve for x
    x = 12,962,590,998.89/48,390.75
  6. Step 6: Final answer
    x = 267,873.32

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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.