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Finding the Third Proportional to 80,586 and 176,130

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Solution

The third proportional to 80,586 and 176,130 is: 384,952.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,586 : 176,130 = 176,130 : x
  2. Step 2: Convert to fraction form
    80,586/176,130 = 176,130/x
  3. Step 3: Cross multiply
    80,586x = 176,130 × 176,130
  4. Step 4: Simplify right side
    80,586x = 31,021,776,900
  5. Step 5: Solve for x
    x = 31,021,776,900/80,586
  6. Step 6: Final answer
    x = 384,952.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.