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Finding the Third Proportional to 73,739 and 111,214

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Solution

The third proportional to 73,739 and 111,214 is: 167,734.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,739 : 111,214 = 111,214 : x
  2. Step 2: Convert to fraction form
    73,739/111,214 = 111,214/x
  3. Step 3: Cross multiply
    73,739x = 111,214 × 111,214
  4. Step 4: Simplify right side
    73,739x = 12,368,553,796
  5. Step 5: Solve for x
    x = 12,368,553,796/73,739
  6. Step 6: Final answer
    x = 167,734.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.