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Finding the Third Proportional to 31,901 and 69,958

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Solution

The third proportional to 31,901 and 69,958 is: 153,415.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,901 : 69,958 = 69,958 : x
  2. Step 2: Convert to fraction form
    31,901/69,958 = 69,958/x
  3. Step 3: Cross multiply
    31,901x = 69,958 × 69,958
  4. Step 4: Simplify right side
    31,901x = 4,894,121,764
  5. Step 5: Solve for x
    x = 4,894,121,764/31,901
  6. Step 6: Final answer
    x = 153,415.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.