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Finding the Third Proportional to 31,186.50 and 68,600.25

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Solution

The third proportional to 31,186.50 and 68,600.25 is: 150,898.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,186.50 : 68,600.25 = 68,600.25 : x
  2. Step 2: Convert to fraction form
    31,186.50/68,600.25 = 68,600.25/x
  3. Step 3: Cross multiply
    31,186.50x = 68,600.25 × 68,600.25
  4. Step 4: Simplify right side
    31,186.50x = 4,705,994,300.06
  5. Step 5: Solve for x
    x = 4,705,994,300.06/31,186.50
  6. Step 6: Final answer
    x = 150,898.44

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.