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Finding the Third Proportional to 75,256 and 110,214

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Solution

The third proportional to 75,256 and 110,214 is: 161,410.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,256 : 110,214 = 110,214 : x
  2. Step 2: Convert to fraction form
    75,256/110,214 = 110,214/x
  3. Step 3: Cross multiply
    75,256x = 110,214 × 110,214
  4. Step 4: Simplify right side
    75,256x = 12,147,125,796
  5. Step 5: Solve for x
    x = 12,147,125,796/75,256
  6. Step 6: Final answer
    x = 161,410.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.