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Finding the Third Proportional to 79,674 and 121,482

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Solution

The third proportional to 79,674 and 121,482 is: 185,228.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,674 : 121,482 = 121,482 : x
  2. Step 2: Convert to fraction form
    79,674/121,482 = 121,482/x
  3. Step 3: Cross multiply
    79,674x = 121,482 × 121,482
  4. Step 4: Simplify right side
    79,674x = 14,757,876,324
  5. Step 5: Solve for x
    x = 14,757,876,324/79,674
  6. Step 6: Final answer
    x = 185,228.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.