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Finding the Third Proportional to 85,112 and 185,150

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Solution

The third proportional to 85,112 and 185,150 is: 402,769.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,112 : 185,150 = 185,150 : x
  2. Step 2: Convert to fraction form
    85,112/185,150 = 185,150/x
  3. Step 3: Cross multiply
    85,112x = 185,150 × 185,150
  4. Step 4: Simplify right side
    85,112x = 34,280,522,500
  5. Step 5: Solve for x
    x = 34,280,522,500/85,112
  6. Step 6: Final answer
    x = 402,769.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.