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Finding the Third Proportional to 59,194 and 125,922

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Solution

The third proportional to 59,194 and 125,922 is: 267,870.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,194 : 125,922 = 125,922 : x
  2. Step 2: Convert to fraction form
    59,194/125,922 = 125,922/x
  3. Step 3: Cross multiply
    59,194x = 125,922 × 125,922
  4. Step 4: Simplify right side
    59,194x = 15,856,350,084
  5. Step 5: Solve for x
    x = 15,856,350,084/59,194
  6. Step 6: Final answer
    x = 267,870.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.