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Finding the Third Proportional to 106,875 and 166,782

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Solution

The third proportional to 106,875 and 166,782 is: 260,268.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,875 : 166,782 = 166,782 : x
  2. Step 2: Convert to fraction form
    106,875/166,782 = 166,782/x
  3. Step 3: Cross multiply
    106,875x = 166,782 × 166,782
  4. Step 4: Simplify right side
    106,875x = 27,816,235,524
  5. Step 5: Solve for x
    x = 27,816,235,524/106,875
  6. Step 6: Final answer
    x = 260,268.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.