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Finding the Third Proportional to 95,942 and 134,199

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Solution

The third proportional to 95,942 and 134,199 is: 187,711.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,942 : 134,199 = 134,199 : x
  2. Step 2: Convert to fraction form
    95,942/134,199 = 134,199/x
  3. Step 3: Cross multiply
    95,942x = 134,199 × 134,199
  4. Step 4: Simplify right side
    95,942x = 18,009,371,601
  5. Step 5: Solve for x
    x = 18,009,371,601/95,942
  6. Step 6: Final answer
    x = 187,711.03

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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.