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Finding the Third Proportional to 138,982 and 271,052

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Solution

The third proportional to 138,982 and 271,052 is: 528,623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,982 : 271,052 = 271,052 : x
  2. Step 2: Convert to fraction form
    138,982/271,052 = 271,052/x
  3. Step 3: Cross multiply
    138,982x = 271,052 × 271,052
  4. Step 4: Simplify right side
    138,982x = 73,469,186,704
  5. Step 5: Solve for x
    x = 73,469,186,704/138,982
  6. Step 6: Final answer
    x = 528,623.75

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.