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Finding the Third Proportional to 48,231 and 75,107.25

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Solution

The third proportional to 48,231 and 75,107.25 is: 116,960.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,231 : 75,107.25 = 75,107.25 : x
  2. Step 2: Convert to fraction form
    48,231/75,107.25 = 75,107.25/x
  3. Step 3: Cross multiply
    48,231x = 75,107.25 × 75,107.25
  4. Step 4: Simplify right side
    48,231x = 5,641,099,002.56
  5. Step 5: Solve for x
    x = 5,641,099,002.56/48,231
  6. Step 6: Final answer
    x = 116,960.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.