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Finding the Third Proportional to 106,970 and 166,371

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Solution

The third proportional to 106,970 and 166,371 is: 258,757.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,970 : 166,371 = 166,371 : x
  2. Step 2: Convert to fraction form
    106,970/166,371 = 166,371/x
  3. Step 3: Cross multiply
    106,970x = 166,371 × 166,371
  4. Step 4: Simplify right side
    106,970x = 27,679,309,641
  5. Step 5: Solve for x
    x = 27,679,309,641/106,970
  6. Step 6: Final answer
    x = 258,757.69

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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.