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Finding the Third Proportional to 73,650 and 115,214

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Solution

The third proportional to 73,650 and 115,214 is: 180,234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,650 : 115,214 = 115,214 : x
  2. Step 2: Convert to fraction form
    73,650/115,214 = 115,214/x
  3. Step 3: Cross multiply
    73,650x = 115,214 × 115,214
  4. Step 4: Simplify right side
    73,650x = 13,274,265,796
  5. Step 5: Solve for x
    x = 13,274,265,796/73,650
  6. Step 6: Final answer
    x = 180,234.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.