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Finding the Third Proportional to 106,972 and 166,374

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Solution

The third proportional to 106,972 and 166,374 is: 258,762.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,972 : 166,374 = 166,374 : x
  2. Step 2: Convert to fraction form
    106,972/166,374 = 166,374/x
  3. Step 3: Cross multiply
    106,972x = 166,374 × 166,374
  4. Step 4: Simplify right side
    106,972x = 27,680,307,876
  5. Step 5: Solve for x
    x = 27,680,307,876/106,972
  6. Step 6: Final answer
    x = 258,762.18

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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.