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Finding the Third Proportional to 101,034.75 and 168,384.75

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Solution

The third proportional to 101,034.75 and 168,384.75 is: 280,630.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,034.75 : 168,384.75 = 168,384.75 : x
  2. Step 2: Convert to fraction form
    101,034.75/168,384.75 = 168,384.75/x
  3. Step 3: Cross multiply
    101,034.75x = 168,384.75 × 168,384.75
  4. Step 4: Simplify right side
    101,034.75x = 28,353,424,032.56
  5. Step 5: Solve for x
    x = 28,353,424,032.56/101,034.75
  6. Step 6: Final answer
    x = 280,630.42

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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.