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Finding the Third Proportional to 31,158.56 and 67,956.19

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Solution

The third proportional to 31,158.56 and 67,956.19 is: 148,211.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,158.56 : 67,956.19 = 67,956.19 : x
  2. Step 2: Convert to fraction form
    31,158.56/67,956.19 = 67,956.19/x
  3. Step 3: Cross multiply
    31,158.56x = 67,956.19 × 67,956.19
  4. Step 4: Simplify right side
    31,158.56x = 4,618,043,419.54
  5. Step 5: Solve for x
    x = 4,618,043,419.54/31,158.56
  6. Step 6: Final answer
    x = 148,211.05

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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.