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Finding the Third Proportional to 85,214 and 125,193

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Solution

The third proportional to 85,214 and 125,193 is: 183,928.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,214 : 125,193 = 125,193 : x
  2. Step 2: Convert to fraction form
    85,214/125,193 = 125,193/x
  3. Step 3: Cross multiply
    85,214x = 125,193 × 125,193
  4. Step 4: Simplify right side
    85,214x = 15,673,287,249
  5. Step 5: Solve for x
    x = 15,673,287,249/85,214
  6. Step 6: Final answer
    x = 183,928.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.