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Finding the Third Proportional to 31,264.88 and 68,269.50

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Solution

The third proportional to 31,264.88 and 68,269.50 is: 149,072.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,264.88 : 68,269.50 = 68,269.50 : x
  2. Step 2: Convert to fraction form
    31,264.88/68,269.50 = 68,269.50/x
  3. Step 3: Cross multiply
    31,264.88x = 68,269.50 × 68,269.50
  4. Step 4: Simplify right side
    31,264.88x = 4,660,724,630.25
  5. Step 5: Solve for x
    x = 4,660,724,630.25/31,264.88
  6. Step 6: Final answer
    x = 149,072.23

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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.