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Finding the Third Proportional to 119,746 and 179,636

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Solution

The third proportional to 119,746 and 179,636 is: 269,479.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,746 : 179,636 = 179,636 : x
  2. Step 2: Convert to fraction form
    119,746/179,636 = 179,636/x
  3. Step 3: Cross multiply
    119,746x = 179,636 × 179,636
  4. Step 4: Simplify right side
    119,746x = 32,269,092,496
  5. Step 5: Solve for x
    x = 32,269,092,496/119,746
  6. Step 6: Final answer
    x = 269,479.50

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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.