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Finding the Third Proportional to 34,726.75 and 81,144.25

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Solution

The third proportional to 34,726.75 and 81,144.25 is: 189,605.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,726.75 : 81,144.25 = 81,144.25 : x
  2. Step 2: Convert to fraction form
    34,726.75/81,144.25 = 81,144.25/x
  3. Step 3: Cross multiply
    34,726.75x = 81,144.25 × 81,144.25
  4. Step 4: Simplify right side
    34,726.75x = 6,584,389,308.06
  5. Step 5: Solve for x
    x = 6,584,389,308.06/34,726.75
  6. Step 6: Final answer
    x = 189,605.69

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.