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Finding the Third Proportional to 31,136.06 and 68,115.94

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Solution

The third proportional to 31,136.06 and 68,115.94 is: 149,016.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,136.06 : 68,115.94 = 68,115.94 : x
  2. Step 2: Convert to fraction form
    31,136.06/68,115.94 = 68,115.94/x
  3. Step 3: Cross multiply
    31,136.06x = 68,115.94 × 68,115.94
  4. Step 4: Simplify right side
    31,136.06x = 4,639,780,941.50
  5. Step 5: Solve for x
    x = 4,639,780,941.50/31,136.06
  6. Step 6: Final answer
    x = 149,016.30

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.