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Finding the Third Proportional to 71,777 and 110,176

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Solution

The third proportional to 71,777 and 110,176 is: 169,117.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,777 : 110,176 = 110,176 : x
  2. Step 2: Convert to fraction form
    71,777/110,176 = 110,176/x
  3. Step 3: Cross multiply
    71,777x = 110,176 × 110,176
  4. Step 4: Simplify right side
    71,777x = 12,138,750,976
  5. Step 5: Solve for x
    x = 12,138,750,976/71,777
  6. Step 6: Final answer
    x = 169,117.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.