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Finding the Third Proportional to 57,954 and 82,718

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Solution

The third proportional to 57,954 and 82,718 is: 118,063.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,954 : 82,718 = 82,718 : x
  2. Step 2: Convert to fraction form
    57,954/82,718 = 82,718/x
  3. Step 3: Cross multiply
    57,954x = 82,718 × 82,718
  4. Step 4: Simplify right side
    57,954x = 6,842,267,524
  5. Step 5: Solve for x
    x = 6,842,267,524/57,954
  6. Step 6: Final answer
    x = 118,063.77

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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.