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Finding the Third Proportional to 80,259.75 and 119,234.25

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Solution

The third proportional to 80,259.75 and 119,234.25 is: 177,134.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,259.75 : 119,234.25 = 119,234.25 : x
  2. Step 2: Convert to fraction form
    80,259.75/119,234.25 = 119,234.25/x
  3. Step 3: Cross multiply
    80,259.75x = 119,234.25 × 119,234.25
  4. Step 4: Simplify right side
    80,259.75x = 14,216,806,373.06
  5. Step 5: Solve for x
    x = 14,216,806,373.06/80,259.75
  6. Step 6: Final answer
    x = 177,134.94

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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.