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Finding the Third Proportional to 106,972.50 and 166,375.50

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Solution

The third proportional to 106,972.50 and 166,375.50 is: 258,765.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,972.50 : 166,375.50 = 166,375.50 : x
  2. Step 2: Convert to fraction form
    106,972.50/166,375.50 = 166,375.50/x
  3. Step 3: Cross multiply
    106,972.50x = 166,375.50 × 166,375.50
  4. Step 4: Simplify right side
    106,972.50x = 27,680,807,000.25
  5. Step 5: Solve for x
    x = 27,680,807,000.25/106,972.50
  6. Step 6: Final answer
    x = 258,765.64

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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.