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Finding the Third Proportional to 31,256 and 67,444

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Solution

The third proportional to 31,256 and 67,444 is: 145,530.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,256 : 67,444 = 67,444 : x
  2. Step 2: Convert to fraction form
    31,256/67,444 = 67,444/x
  3. Step 3: Cross multiply
    31,256x = 67,444 × 67,444
  4. Step 4: Simplify right side
    31,256x = 4,548,693,136
  5. Step 5: Solve for x
    x = 4,548,693,136/31,256
  6. Step 6: Final answer
    x = 145,530.24

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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.