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Finding the Third Proportional to 31,398 and 67,926

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Solution

The third proportional to 31,398 and 67,926 is: 146,950.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,398 : 67,926 = 67,926 : x
  2. Step 2: Convert to fraction form
    31,398/67,926 = 67,926/x
  3. Step 3: Cross multiply
    31,398x = 67,926 × 67,926
  4. Step 4: Simplify right side
    31,398x = 4,613,941,476
  5. Step 5: Solve for x
    x = 4,613,941,476/31,398
  6. Step 6: Final answer
    x = 146,950.17

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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.