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Finding the Third Proportional to 76,497 and 110,177

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Solution

The third proportional to 76,497 and 110,177 is: 158,685.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,497 : 110,177 = 110,177 : x
  2. Step 2: Convert to fraction form
    76,497/110,177 = 110,177/x
  3. Step 3: Cross multiply
    76,497x = 110,177 × 110,177
  4. Step 4: Simplify right side
    76,497x = 12,138,971,329
  5. Step 5: Solve for x
    x = 12,138,971,329/76,497
  6. Step 6: Final answer
    x = 158,685.59

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.