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Finding the Third Proportional to 68,093.16 and 138,952.97

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Solution

The third proportional to 68,093.16 and 138,952.97 is: 283,551.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,093.16 : 138,952.97 = 138,952.97 : x
  2. Step 2: Convert to fraction form
    68,093.16/138,952.97 = 138,952.97/x
  3. Step 3: Cross multiply
    68,093.16x = 138,952.97 × 138,952.97
  4. Step 4: Simplify right side
    68,093.16x = 19,307,927,524.44
  5. Step 5: Solve for x
    x = 19,307,927,524.44/68,093.16
  6. Step 6: Final answer
    x = 283,551.66

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.