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Finding the Third Proportional to 31,056 and 67,036

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Solution

The third proportional to 31,056 and 67,036 is: 144,700.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,056 : 67,036 = 67,036 : x
  2. Step 2: Convert to fraction form
    31,056/67,036 = 67,036/x
  3. Step 3: Cross multiply
    31,056x = 67,036 × 67,036
  4. Step 4: Simplify right side
    31,056x = 4,493,825,296
  5. Step 5: Solve for x
    x = 4,493,825,296/31,056
  6. Step 6: Final answer
    x = 144,700.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.