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Finding the Third Proportional to 31,483 and 68,504

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Solution

The third proportional to 31,483 and 68,504 is: 149,058.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,483 : 68,504 = 68,504 : x
  2. Step 2: Convert to fraction form
    31,483/68,504 = 68,504/x
  3. Step 3: Cross multiply
    31,483x = 68,504 × 68,504
  4. Step 4: Simplify right side
    31,483x = 4,692,798,016
  5. Step 5: Solve for x
    x = 4,692,798,016/31,483
  6. Step 6: Final answer
    x = 149,058.16

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.