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Finding the Third Proportional to 95,687 and 136,968

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Solution

The third proportional to 95,687 and 136,968 is: 196,058.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,687 : 136,968 = 136,968 : x
  2. Step 2: Convert to fraction form
    95,687/136,968 = 136,968/x
  3. Step 3: Cross multiply
    95,687x = 136,968 × 136,968
  4. Step 4: Simplify right side
    95,687x = 18,760,233,024
  5. Step 5: Solve for x
    x = 18,760,233,024/95,687
  6. Step 6: Final answer
    x = 196,058.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.