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Finding the Third Proportional to 95,946 and 134,206

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Solution

The third proportional to 95,946 and 134,206 is: 187,722.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,946 : 134,206 = 134,206 : x
  2. Step 2: Convert to fraction form
    95,946/134,206 = 134,206/x
  3. Step 3: Cross multiply
    95,946x = 134,206 × 134,206
  4. Step 4: Simplify right side
    95,946x = 18,011,250,436
  5. Step 5: Solve for x
    x = 18,011,250,436/95,946
  6. Step 6: Final answer
    x = 187,722.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.