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Finding the Third Proportional to 49,562 and 79,802

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Solution

The third proportional to 49,562 and 79,802 is: 128,492.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,562 : 79,802 = 79,802 : x
  2. Step 2: Convert to fraction form
    49,562/79,802 = 79,802/x
  3. Step 3: Cross multiply
    49,562x = 79,802 × 79,802
  4. Step 4: Simplify right side
    49,562x = 6,368,359,204
  5. Step 5: Solve for x
    x = 6,368,359,204/49,562
  6. Step 6: Final answer
    x = 128,492.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.