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Finding the Third Proportional to 106,865.25 and 166,767.75

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Solution

The third proportional to 106,865.25 and 166,767.75 is: 260,248.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,865.25 : 166,767.75 = 166,767.75 : x
  2. Step 2: Convert to fraction form
    106,865.25/166,767.75 = 166,767.75/x
  3. Step 3: Cross multiply
    106,865.25x = 166,767.75 × 166,767.75
  4. Step 4: Simplify right side
    106,865.25x = 27,811,482,440.06
  5. Step 5: Solve for x
    x = 27,811,482,440.06/106,865.25
  6. Step 6: Final answer
    x = 260,248.14

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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.