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Finding the Third Proportional to 114,987 and 179,474

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Solution

The third proportional to 114,987 and 179,474 is: 280,126.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,987 : 179,474 = 179,474 : x
  2. Step 2: Convert to fraction form
    114,987/179,474 = 179,474/x
  3. Step 3: Cross multiply
    114,987x = 179,474 × 179,474
  4. Step 4: Simplify right side
    114,987x = 32,210,916,676
  5. Step 5: Solve for x
    x = 32,210,916,676/114,987
  6. Step 6: Final answer
    x = 280,126.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.