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Finding the Third Proportional to 31,155 and 67,568.25

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Solution

The third proportional to 31,155 and 67,568.25 is: 146,540.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,155 : 67,568.25 = 67,568.25 : x
  2. Step 2: Convert to fraction form
    31,155/67,568.25 = 67,568.25/x
  3. Step 3: Cross multiply
    31,155x = 67,568.25 × 67,568.25
  4. Step 4: Simplify right side
    31,155x = 4,565,468,408.06
  5. Step 5: Solve for x
    x = 4,565,468,408.06/31,155
  6. Step 6: Final answer
    x = 146,540.47

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Why These Related Problems?

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