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Finding the Third Proportional to 106,938 and 166,320

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Solution

The third proportional to 106,938 and 166,320 is: 258,676.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,938 : 166,320 = 166,320 : x
  2. Step 2: Convert to fraction form
    106,938/166,320 = 166,320/x
  3. Step 3: Cross multiply
    106,938x = 166,320 × 166,320
  4. Step 4: Simplify right side
    106,938x = 27,662,342,400
  5. Step 5: Solve for x
    x = 27,662,342,400/106,938
  6. Step 6: Final answer
    x = 258,676.45

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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.