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Finding the Third Proportional to 31,481 and 68,500.50

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Solution

The third proportional to 31,481 and 68,500.50 is: 149,052.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,481 : 68,500.50 = 68,500.50 : x
  2. Step 2: Convert to fraction form
    31,481/68,500.50 = 68,500.50/x
  3. Step 3: Cross multiply
    31,481x = 68,500.50 × 68,500.50
  4. Step 4: Simplify right side
    31,481x = 4,692,318,500.25
  5. Step 5: Solve for x
    x = 4,692,318,500.25/31,481
  6. Step 6: Final answer
    x = 149,052.40

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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.