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Finding the Third Proportional to 75,285 and 110,847

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Solution

The third proportional to 75,285 and 110,847 is: 163,207.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,285 : 110,847 = 110,847 : x
  2. Step 2: Convert to fraction form
    75,285/110,847 = 110,847/x
  3. Step 3: Cross multiply
    75,285x = 110,847 × 110,847
  4. Step 4: Simplify right side
    75,285x = 12,287,057,409
  5. Step 5: Solve for x
    x = 12,287,057,409/75,285
  6. Step 6: Final answer
    x = 163,207.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.