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Finding the Third Proportional to 31,155.09 and 67,568.44

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Solution

The third proportional to 31,155.09 and 67,568.44 is: 146,540.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,155.09 : 67,568.44 = 67,568.44 : x
  2. Step 2: Convert to fraction form
    31,155.09/67,568.44 = 67,568.44/x
  3. Step 3: Cross multiply
    31,155.09x = 67,568.44 × 67,568.44
  4. Step 4: Simplify right side
    31,155.09x = 4,565,493,746.19
  5. Step 5: Solve for x
    x = 4,565,493,746.19/31,155.09
  6. Step 6: Final answer
    x = 146,540.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.