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Finding the Third Proportional to 95,698 and 136,986

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Solution

The third proportional to 95,698 and 136,986 is: 196,087.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,698 : 136,986 = 136,986 : x
  2. Step 2: Convert to fraction form
    95,698/136,986 = 136,986/x
  3. Step 3: Cross multiply
    95,698x = 136,986 × 136,986
  4. Step 4: Simplify right side
    95,698x = 18,765,164,196
  5. Step 5: Solve for x
    x = 18,765,164,196/95,698
  6. Step 6: Final answer
    x = 196,087.32

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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.