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Finding the Third Proportional to 80,070.75 and 119,884.50

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Solution

The third proportional to 80,070.75 and 119,884.50 is: 179,494.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,070.75 : 119,884.50 = 119,884.50 : x
  2. Step 2: Convert to fraction form
    80,070.75/119,884.50 = 119,884.50/x
  3. Step 3: Cross multiply
    80,070.75x = 119,884.50 × 119,884.50
  4. Step 4: Simplify right side
    80,070.75x = 14,372,293,340.25
  5. Step 5: Solve for x
    x = 14,372,293,340.25/80,070.75
  6. Step 6: Final answer
    x = 179,494.93

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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.