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Finding the Third Proportional to 69,315 and 107,286

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Solution

The third proportional to 69,315 and 107,286 is: 166,057.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,315 : 107,286 = 107,286 : x
  2. Step 2: Convert to fraction form
    69,315/107,286 = 107,286/x
  3. Step 3: Cross multiply
    69,315x = 107,286 × 107,286
  4. Step 4: Simplify right side
    69,315x = 11,510,285,796
  5. Step 5: Solve for x
    x = 11,510,285,796/69,315
  6. Step 6: Final answer
    x = 166,057.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.