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Finding the Third Proportional to 39,711 and 85,180

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Solution

The third proportional to 39,711 and 85,180 is: 182,710.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,711 : 85,180 = 85,180 : x
  2. Step 2: Convert to fraction form
    39,711/85,180 = 85,180/x
  3. Step 3: Cross multiply
    39,711x = 85,180 × 85,180
  4. Step 4: Simplify right side
    39,711x = 7,255,632,400
  5. Step 5: Solve for x
    x = 7,255,632,400/39,711
  6. Step 6: Final answer
    x = 182,710.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.