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Finding the Third Proportional to 75,286 and 110,851

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Solution

The third proportional to 75,286 and 110,851 is: 163,216.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,286 : 110,851 = 110,851 : x
  2. Step 2: Convert to fraction form
    75,286/110,851 = 110,851/x
  3. Step 3: Cross multiply
    75,286x = 110,851 × 110,851
  4. Step 4: Simplify right side
    75,286x = 12,287,944,201
  5. Step 5: Solve for x
    x = 12,287,944,201/75,286
  6. Step 6: Final answer
    x = 163,216.86

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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.