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Finding the Third Proportional to 119,791 and 179,671

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Solution

The third proportional to 119,791 and 179,671 is: 269,483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,791 : 179,671 = 179,671 : x
  2. Step 2: Convert to fraction form
    119,791/179,671 = 179,671/x
  3. Step 3: Cross multiply
    119,791x = 179,671 × 179,671
  4. Step 4: Simplify right side
    119,791x = 32,281,668,241
  5. Step 5: Solve for x
    x = 32,281,668,241/119,791
  6. Step 6: Final answer
    x = 269,483.25

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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.