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Finding the Third Proportional to 45,613.13 and 68,235.75

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Solution

The third proportional to 45,613.13 and 68,235.75 is: 102,078.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,613.13 : 68,235.75 = 68,235.75 : x
  2. Step 2: Convert to fraction form
    45,613.13/68,235.75 = 68,235.75/x
  3. Step 3: Cross multiply
    45,613.13x = 68,235.75 × 68,235.75
  4. Step 4: Simplify right side
    45,613.13x = 4,656,117,578.06
  5. Step 5: Solve for x
    x = 4,656,117,578.06/45,613.13
  6. Step 6: Final answer
    x = 102,078.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.