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Finding the Third Proportional to 80,650 and 125,133

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Solution

The third proportional to 80,650 and 125,133 is: 194,150.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,650 : 125,133 = 125,133 : x
  2. Step 2: Convert to fraction form
    80,650/125,133 = 125,133/x
  3. Step 3: Cross multiply
    80,650x = 125,133 × 125,133
  4. Step 4: Simplify right side
    80,650x = 15,658,267,689
  5. Step 5: Solve for x
    x = 15,658,267,689/80,650
  6. Step 6: Final answer
    x = 194,150.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.