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Finding the Third Proportional to 120,102 and 179,481

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Solution

The third proportional to 120,102 and 179,481 is: 268,217.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,102 : 179,481 = 179,481 : x
  2. Step 2: Convert to fraction form
    120,102/179,481 = 179,481/x
  3. Step 3: Cross multiply
    120,102x = 179,481 × 179,481
  4. Step 4: Simplify right side
    120,102x = 32,213,429,361
  5. Step 5: Solve for x
    x = 32,213,429,361/120,102
  6. Step 6: Final answer
    x = 268,217.26

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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.