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Finding the Third Proportional to 71,815.50 and 119,277

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Solution

The third proportional to 71,815.50 and 119,277 is: 198,104.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,815.50 : 119,277 = 119,277 : x
  2. Step 2: Convert to fraction form
    71,815.50/119,277 = 119,277/x
  3. Step 3: Cross multiply
    71,815.50x = 119,277 × 119,277
  4. Step 4: Simplify right side
    71,815.50x = 14,227,002,729
  5. Step 5: Solve for x
    x = 14,227,002,729/71,815.50
  6. Step 6: Final answer
    x = 198,104.90

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.