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Finding the Third Proportional to 96,633 and 136,080

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Solution

The third proportional to 96,633 and 136,080 is: 191,629.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,633 : 136,080 = 136,080 : x
  2. Step 2: Convert to fraction form
    96,633/136,080 = 136,080/x
  3. Step 3: Cross multiply
    96,633x = 136,080 × 136,080
  4. Step 4: Simplify right side
    96,633x = 18,517,766,400
  5. Step 5: Solve for x
    x = 18,517,766,400/96,633
  6. Step 6: Final answer
    x = 191,629.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.