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Finding the Third Proportional to 79,074 and 125,649

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Solution

The third proportional to 79,074 and 125,649 is: 199,656.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,074 : 125,649 = 125,649 : x
  2. Step 2: Convert to fraction form
    79,074/125,649 = 125,649/x
  3. Step 3: Cross multiply
    79,074x = 125,649 × 125,649
  4. Step 4: Simplify right side
    79,074x = 15,787,671,201
  5. Step 5: Solve for x
    x = 15,787,671,201/79,074
  6. Step 6: Final answer
    x = 199,656.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.