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Finding the Third Proportional to 96,835 and 132,016.75

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Solution

The third proportional to 96,835 and 132,016.75 is: 179,980.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,835 : 132,016.75 = 132,016.75 : x
  2. Step 2: Convert to fraction form
    96,835/132,016.75 = 132,016.75/x
  3. Step 3: Cross multiply
    96,835x = 132,016.75 × 132,016.75
  4. Step 4: Simplify right side
    96,835x = 17,428,422,280.56
  5. Step 5: Solve for x
    x = 17,428,422,280.56/96,835
  6. Step 6: Final answer
    x = 179,980.61

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.