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Finding the Third Proportional to 121,960 and 185,102

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Solution

The third proportional to 121,960 and 185,102 is: 280,934.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,960 : 185,102 = 185,102 : x
  2. Step 2: Convert to fraction form
    121,960/185,102 = 185,102/x
  3. Step 3: Cross multiply
    121,960x = 185,102 × 185,102
  4. Step 4: Simplify right side
    121,960x = 34,262,750,404
  5. Step 5: Solve for x
    x = 34,262,750,404/121,960
  6. Step 6: Final answer
    x = 280,934.33

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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.