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Finding the Third Proportional to 85,176.56 and 179,182.13

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Solution

The third proportional to 85,176.56 and 179,182.13 is: 376,937.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,176.56 : 179,182.13 = 179,182.13 : x
  2. Step 2: Convert to fraction form
    85,176.56/179,182.13 = 179,182.13/x
  3. Step 3: Cross multiply
    85,176.56x = 179,182.13 × 179,182.13
  4. Step 4: Simplify right side
    85,176.56x = 32,106,233,919.52
  5. Step 5: Solve for x
    x = 32,106,233,919.52/85,176.56
  6. Step 6: Final answer
    x = 376,937.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.