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Finding the Third Proportional to 80,262 and 119,237

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Solution

The third proportional to 80,262 and 119,237 is: 177,138.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,262 : 119,237 = 119,237 : x
  2. Step 2: Convert to fraction form
    80,262/119,237 = 119,237/x
  3. Step 3: Cross multiply
    80,262x = 119,237 × 119,237
  4. Step 4: Simplify right side
    80,262x = 14,217,462,169
  5. Step 5: Solve for x
    x = 14,217,462,169/80,262
  6. Step 6: Final answer
    x = 177,138.15

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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.