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Finding the Third Proportional to 112,886 and 165,180

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Solution

The third proportional to 112,886 and 165,180 is: 241,698.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,886 : 165,180 = 165,180 : x
  2. Step 2: Convert to fraction form
    112,886/165,180 = 165,180/x
  3. Step 3: Cross multiply
    112,886x = 165,180 × 165,180
  4. Step 4: Simplify right side
    112,886x = 27,284,432,400
  5. Step 5: Solve for x
    x = 27,284,432,400/112,886
  6. Step 6: Final answer
    x = 241,698.99

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.