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Finding the Third Proportional to 119,961 and 179,277

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Solution

The third proportional to 119,961 and 179,277 is: 267,922.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,961 : 179,277 = 179,277 : x
  2. Step 2: Convert to fraction form
    119,961/179,277 = 179,277/x
  3. Step 3: Cross multiply
    119,961x = 179,277 × 179,277
  4. Step 4: Simplify right side
    119,961x = 32,140,242,729
  5. Step 5: Solve for x
    x = 32,140,242,729/119,961
  6. Step 6: Final answer
    x = 267,922.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.