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Finding the Third Proportional to 80,055 and 119,920.50

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Solution

The third proportional to 80,055 and 119,920.50 is: 179,638.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,055 : 119,920.50 = 119,920.50 : x
  2. Step 2: Convert to fraction form
    80,055/119,920.50 = 119,920.50/x
  3. Step 3: Cross multiply
    80,055x = 119,920.50 × 119,920.50
  4. Step 4: Simplify right side
    80,055x = 14,380,926,320.25
  5. Step 5: Solve for x
    x = 14,380,926,320.25/80,055
  6. Step 6: Final answer
    x = 179,638.08

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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.