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Finding the Third Proportional to 119,750 and 179,642

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Solution

The third proportional to 119,750 and 179,642 is: 269,488.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,750 : 179,642 = 179,642 : x
  2. Step 2: Convert to fraction form
    119,750/179,642 = 179,642/x
  3. Step 3: Cross multiply
    119,750x = 179,642 × 179,642
  4. Step 4: Simplify right side
    119,750x = 32,271,248,164
  5. Step 5: Solve for x
    x = 32,271,248,164/119,750
  6. Step 6: Final answer
    x = 269,488.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.