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Finding the Third Proportional to 68,647.50 and 88,148.25

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Solution

The third proportional to 68,647.50 and 88,148.25 is: 113,188.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,647.50 : 88,148.25 = 88,148.25 : x
  2. Step 2: Convert to fraction form
    68,647.50/88,148.25 = 88,148.25/x
  3. Step 3: Cross multiply
    68,647.50x = 88,148.25 × 88,148.25
  4. Step 4: Simplify right side
    68,647.50x = 7,770,113,978.06
  5. Step 5: Solve for x
    x = 7,770,113,978.06/68,647.50
  6. Step 6: Final answer
    x = 113,188.59

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.