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Finding the Third Proportional to 34,054.50 and 67,235.75

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Solution

The third proportional to 34,054.50 and 67,235.75 is: 132,747.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,054.50 : 67,235.75 = 67,235.75 : x
  2. Step 2: Convert to fraction form
    34,054.50/67,235.75 = 67,235.75/x
  3. Step 3: Cross multiply
    34,054.50x = 67,235.75 × 67,235.75
  4. Step 4: Simplify right side
    34,054.50x = 4,520,646,078.06
  5. Step 5: Solve for x
    x = 4,520,646,078.06/34,054.50
  6. Step 6: Final answer
    x = 132,747.39

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.