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Finding the Third Proportional to 90,826.88 and 141,759.09

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Solution

The third proportional to 90,826.88 and 141,759.09 is: 221,252.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,826.88 : 141,759.09 = 141,759.09 : x
  2. Step 2: Convert to fraction form
    90,826.88/141,759.09 = 141,759.09/x
  3. Step 3: Cross multiply
    90,826.88x = 141,759.09 × 141,759.09
  4. Step 4: Simplify right side
    90,826.88x = 20,095,640,660.82
  5. Step 5: Solve for x
    x = 20,095,640,660.82/90,826.88
  6. Step 6: Final answer
    x = 221,252.14

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.