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Finding the Third Proportional to 70,765 and 103,231

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Solution

The third proportional to 70,765 and 103,231 is: 150,591.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,765 : 103,231 = 103,231 : x
  2. Step 2: Convert to fraction form
    70,765/103,231 = 103,231/x
  3. Step 3: Cross multiply
    70,765x = 103,231 × 103,231
  4. Step 4: Simplify right side
    70,765x = 10,656,639,361
  5. Step 5: Solve for x
    x = 10,656,639,361/70,765
  6. Step 6: Final answer
    x = 150,591.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.