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Finding the Third Proportional to 106,586 and 177,636

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Solution

The third proportional to 106,586 and 177,636 is: 296,047.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,586 : 177,636 = 177,636 : x
  2. Step 2: Convert to fraction form
    106,586/177,636 = 177,636/x
  3. Step 3: Cross multiply
    106,586x = 177,636 × 177,636
  4. Step 4: Simplify right side
    106,586x = 31,554,548,496
  5. Step 5: Solve for x
    x = 31,554,548,496/106,586
  6. Step 6: Final answer
    x = 296,047.78

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.