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Finding the Third Proportional to 31,501.13 and 68,538.38

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Solution

The third proportional to 31,501.13 and 68,538.38 is: 149,121.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,501.13 : 68,538.38 = 68,538.38 : x
  2. Step 2: Convert to fraction form
    31,501.13/68,538.38 = 68,538.38/x
  3. Step 3: Cross multiply
    31,501.13x = 68,538.38 × 68,538.38
  4. Step 4: Simplify right side
    31,501.13x = 4,697,508,847.64
  5. Step 5: Solve for x
    x = 4,697,508,847.64/31,501.13
  6. Step 6: Final answer
    x = 149,121.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.