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Finding the Third Proportional to 69,592 and 107,682

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Solution

The third proportional to 69,592 and 107,682 is: 166,619.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,592 : 107,682 = 107,682 : x
  2. Step 2: Convert to fraction form
    69,592/107,682 = 107,682/x
  3. Step 3: Cross multiply
    69,592x = 107,682 × 107,682
  4. Step 4: Simplify right side
    69,592x = 11,595,413,124
  5. Step 5: Solve for x
    x = 11,595,413,124/69,592
  6. Step 6: Final answer
    x = 166,619.91

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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.