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Finding the Third Proportional to 83,765 and 176,845

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Solution

The third proportional to 83,765 and 176,845 is: 373,355.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,765 : 176,845 = 176,845 : x
  2. Step 2: Convert to fraction form
    83,765/176,845 = 176,845/x
  3. Step 3: Cross multiply
    83,765x = 176,845 × 176,845
  4. Step 4: Simplify right side
    83,765x = 31,274,154,025
  5. Step 5: Solve for x
    x = 31,274,154,025/83,765
  6. Step 6: Final answer
    x = 373,355.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.