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Finding the Third Proportional to 48,890 and 107,120

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Solution

The third proportional to 48,890 and 107,120 is: 234,704.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,890 : 107,120 = 107,120 : x
  2. Step 2: Convert to fraction form
    48,890/107,120 = 107,120/x
  3. Step 3: Cross multiply
    48,890x = 107,120 × 107,120
  4. Step 4: Simplify right side
    48,890x = 11,474,694,400
  5. Step 5: Solve for x
    x = 11,474,694,400/48,890
  6. Step 6: Final answer
    x = 234,704.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.