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Finding the Third Proportional to 31,023 and 67,914

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Solution

The third proportional to 31,023 and 67,914 is: 148,673.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,023 : 67,914 = 67,914 : x
  2. Step 2: Convert to fraction form
    31,023/67,914 = 67,914/x
  3. Step 3: Cross multiply
    31,023x = 67,914 × 67,914
  4. Step 4: Simplify right side
    31,023x = 4,612,311,396
  5. Step 5: Solve for x
    x = 4,612,311,396/31,023
  6. Step 6: Final answer
    x = 148,673.93

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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.