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Finding the Third Proportional to 119,647.13 and 179,470.69

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Solution

The third proportional to 119,647.13 and 179,470.69 is: 269,206.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,647.13 : 179,470.69 = 179,470.69 : x
  2. Step 2: Convert to fraction form
    119,647.13/179,470.69 = 179,470.69/x
  3. Step 3: Cross multiply
    119,647.13x = 179,470.69 × 179,470.69
  4. Step 4: Simplify right side
    119,647.13x = 32,209,727,671.72
  5. Step 5: Solve for x
    x = 32,209,727,671.72/119,647.13
  6. Step 6: Final answer
    x = 269,206.03

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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.