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Finding the Third Proportional to 106,929 and 166,347

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Solution

The third proportional to 106,929 and 166,347 is: 258,782.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,929 : 166,347 = 166,347 : x
  2. Step 2: Convert to fraction form
    106,929/166,347 = 166,347/x
  3. Step 3: Cross multiply
    106,929x = 166,347 × 166,347
  4. Step 4: Simplify right side
    106,929x = 27,671,324,409
  5. Step 5: Solve for x
    x = 27,671,324,409/106,929
  6. Step 6: Final answer
    x = 258,782.22

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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.