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Finding the Third Proportional to 86,771 and 175,957

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Solution

The third proportional to 86,771 and 175,957 is: 356,811.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,771 : 175,957 = 175,957 : x
  2. Step 2: Convert to fraction form
    86,771/175,957 = 175,957/x
  3. Step 3: Cross multiply
    86,771x = 175,957 × 175,957
  4. Step 4: Simplify right side
    86,771x = 30,960,865,849
  5. Step 5: Solve for x
    x = 30,960,865,849/86,771
  6. Step 6: Final answer
    x = 356,811.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.