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Finding the Third Proportional to 119,131 and 185,231

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Solution

The third proportional to 119,131 and 185,231 is: 288,006.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,131 : 185,231 = 185,231 : x
  2. Step 2: Convert to fraction form
    119,131/185,231 = 185,231/x
  3. Step 3: Cross multiply
    119,131x = 185,231 × 185,231
  4. Step 4: Simplify right side
    119,131x = 34,310,523,361
  5. Step 5: Solve for x
    x = 34,310,523,361/119,131
  6. Step 6: Final answer
    x = 288,006.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.