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Finding the Third Proportional to 62,722 and 134,186

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Solution

The third proportional to 62,722 and 134,186 is: 287,074.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,722 : 134,186 = 134,186 : x
  2. Step 2: Convert to fraction form
    62,722/134,186 = 134,186/x
  3. Step 3: Cross multiply
    62,722x = 134,186 × 134,186
  4. Step 4: Simplify right side
    62,722x = 18,005,882,596
  5. Step 5: Solve for x
    x = 18,005,882,596/62,722
  6. Step 6: Final answer
    x = 287,074.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.