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Finding the Third Proportional to 68,805.75 and 96,893.06

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Solution

The third proportional to 68,805.75 and 96,893.06 is: 136,445.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,805.75 : 96,893.06 = 96,893.06 : x
  2. Step 2: Convert to fraction form
    68,805.75/96,893.06 = 96,893.06/x
  3. Step 3: Cross multiply
    68,805.75x = 96,893.06 × 96,893.06
  4. Step 4: Simplify right side
    68,805.75x = 9,388,265,560.63
  5. Step 5: Solve for x
    x = 9,388,265,560.63/68,805.75
  6. Step 6: Final answer
    x = 136,445.94

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.