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Finding the Third Proportional to 80,473.50 and 119,758.50

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Solution

The third proportional to 80,473.50 and 119,758.50 is: 178,221.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,473.50 : 119,758.50 = 119,758.50 : x
  2. Step 2: Convert to fraction form
    80,473.50/119,758.50 = 119,758.50/x
  3. Step 3: Cross multiply
    80,473.50x = 119,758.50 × 119,758.50
  4. Step 4: Simplify right side
    80,473.50x = 14,342,098,322.25
  5. Step 5: Solve for x
    x = 14,342,098,322.25/80,473.50
  6. Step 6: Final answer
    x = 178,221.38

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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.