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Finding the Third Proportional to 86,799 and 176,012

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Solution

The third proportional to 86,799 and 176,012 is: 356,919.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,799 : 176,012 = 176,012 : x
  2. Step 2: Convert to fraction form
    86,799/176,012 = 176,012/x
  3. Step 3: Cross multiply
    86,799x = 176,012 × 176,012
  4. Step 4: Simplify right side
    86,799x = 30,980,224,144
  5. Step 5: Solve for x
    x = 30,980,224,144/86,799
  6. Step 6: Final answer
    x = 356,919.14

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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.