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Finding the Third Proportional to 80,646 and 124,596

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Solution

The third proportional to 80,646 and 124,596 is: 192,497.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,646 : 124,596 = 124,596 : x
  2. Step 2: Convert to fraction form
    80,646/124,596 = 124,596/x
  3. Step 3: Cross multiply
    80,646x = 124,596 × 124,596
  4. Step 4: Simplify right side
    80,646x = 15,524,163,216
  5. Step 5: Solve for x
    x = 15,524,163,216/80,646
  6. Step 6: Final answer
    x = 192,497.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.