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Finding the Third Proportional to 83,147 and 158,639

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Solution

The third proportional to 83,147 and 158,639 is: 302,672.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,147 : 158,639 = 158,639 : x
  2. Step 2: Convert to fraction form
    83,147/158,639 = 158,639/x
  3. Step 3: Cross multiply
    83,147x = 158,639 × 158,639
  4. Step 4: Simplify right side
    83,147x = 25,166,332,321
  5. Step 5: Solve for x
    x = 25,166,332,321/83,147
  6. Step 6: Final answer
    x = 302,672.76

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.