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Finding the Third Proportional to 95,685 and 136,967

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Solution

The third proportional to 95,685 and 136,967 is: 196,059.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,685 : 136,967 = 136,967 : x
  2. Step 2: Convert to fraction form
    95,685/136,967 = 136,967/x
  3. Step 3: Cross multiply
    95,685x = 136,967 × 136,967
  4. Step 4: Simplify right side
    95,685x = 18,759,959,089
  5. Step 5: Solve for x
    x = 18,759,959,089/95,685
  6. Step 6: Final answer
    x = 196,059.56

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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.