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Finding the Third Proportional to 79,895 and 125,328

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Solution

The third proportional to 79,895 and 125,328 is: 196,596.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,895 : 125,328 = 125,328 : x
  2. Step 2: Convert to fraction form
    79,895/125,328 = 125,328/x
  3. Step 3: Cross multiply
    79,895x = 125,328 × 125,328
  4. Step 4: Simplify right side
    79,895x = 15,707,107,584
  5. Step 5: Solve for x
    x = 15,707,107,584/79,895
  6. Step 6: Final answer
    x = 196,596.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.