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Finding the Third Proportional to 69,085 and 106,682

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Solution

The third proportional to 69,085 and 106,682 is: 164,739.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,085 : 106,682 = 106,682 : x
  2. Step 2: Convert to fraction form
    69,085/106,682 = 106,682/x
  3. Step 3: Cross multiply
    69,085x = 106,682 × 106,682
  4. Step 4: Simplify right side
    69,085x = 11,381,049,124
  5. Step 5: Solve for x
    x = 11,381,049,124/69,085
  6. Step 6: Final answer
    x = 164,739.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.