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Finding the Third Proportional to 108,711 and 150,214

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Solution

The third proportional to 108,711 and 150,214 is: 207,561.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,711 : 150,214 = 150,214 : x
  2. Step 2: Convert to fraction form
    108,711/150,214 = 150,214/x
  3. Step 3: Cross multiply
    108,711x = 150,214 × 150,214
  4. Step 4: Simplify right side
    108,711x = 22,564,245,796
  5. Step 5: Solve for x
    x = 22,564,245,796/108,711
  6. Step 6: Final answer
    x = 207,561.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.