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Finding the Third Proportional to 80,263 and 119,239

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Solution

The third proportional to 80,263 and 119,239 is: 177,141.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,263 : 119,239 = 119,239 : x
  2. Step 2: Convert to fraction form
    80,263/119,239 = 119,239/x
  3. Step 3: Cross multiply
    80,263x = 119,239 × 119,239
  4. Step 4: Simplify right side
    80,263x = 14,217,939,121
  5. Step 5: Solve for x
    x = 14,217,939,121/80,263
  6. Step 6: Final answer
    x = 177,141.89

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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.