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Finding the Third Proportional to 57,942 and 82,701

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Solution

The third proportional to 57,942 and 82,701 is: 118,039.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,942 : 82,701 = 82,701 : x
  2. Step 2: Convert to fraction form
    57,942/82,701 = 82,701/x
  3. Step 3: Cross multiply
    57,942x = 82,701 × 82,701
  4. Step 4: Simplify right side
    57,942x = 6,839,455,401
  5. Step 5: Solve for x
    x = 6,839,455,401/57,942
  6. Step 6: Final answer
    x = 118,039.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.