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Finding the Third Proportional to 112,016.25 and 165,807

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Solution

The third proportional to 112,016.25 and 165,807 is: 245,428.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,016.25 : 165,807 = 165,807 : x
  2. Step 2: Convert to fraction form
    112,016.25/165,807 = 165,807/x
  3. Step 3: Cross multiply
    112,016.25x = 165,807 × 165,807
  4. Step 4: Simplify right side
    112,016.25x = 27,491,961,249
  5. Step 5: Solve for x
    x = 27,491,961,249/112,016.25
  6. Step 6: Final answer
    x = 245,428.33

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.