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Finding the Third Proportional to 106,870 and 166,775

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Solution

The third proportional to 106,870 and 166,775 is: 260,259.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,870 : 166,775 = 166,775 : x
  2. Step 2: Convert to fraction form
    106,870/166,775 = 166,775/x
  3. Step 3: Cross multiply
    106,870x = 166,775 × 166,775
  4. Step 4: Simplify right side
    106,870x = 27,813,900,625
  5. Step 5: Solve for x
    x = 27,813,900,625/106,870
  6. Step 6: Final answer
    x = 260,259.20

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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.