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Finding the Third Proportional to 85,479.75 and 176,424.75

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Solution

The third proportional to 85,479.75 and 176,424.75 is: 364,129.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,479.75 : 176,424.75 = 176,424.75 : x
  2. Step 2: Convert to fraction form
    85,479.75/176,424.75 = 176,424.75/x
  3. Step 3: Cross multiply
    85,479.75x = 176,424.75 × 176,424.75
  4. Step 4: Simplify right side
    85,479.75x = 31,125,692,412.56
  5. Step 5: Solve for x
    x = 31,125,692,412.56/85,479.75
  6. Step 6: Final answer
    x = 364,129.43

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.