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Finding the Third Proportional to 85,034.81 and 177,063.47

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Solution

The third proportional to 85,034.81 and 177,063.47 is: 368,689.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,034.81 : 177,063.47 = 177,063.47 : x
  2. Step 2: Convert to fraction form
    85,034.81/177,063.47 = 177,063.47/x
  3. Step 3: Cross multiply
    85,034.81x = 177,063.47 × 177,063.47
  4. Step 4: Simplify right side
    85,034.81x = 31,351,471,965.78
  5. Step 5: Solve for x
    x = 31,351,471,965.78/85,034.81
  6. Step 6: Final answer
    x = 368,689.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.