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Finding the Third Proportional to 57,974 and 82,708

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Solution

The third proportional to 57,974 and 82,708 is: 117,994.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,974 : 82,708 = 82,708 : x
  2. Step 2: Convert to fraction form
    57,974/82,708 = 82,708/x
  3. Step 3: Cross multiply
    57,974x = 82,708 × 82,708
  4. Step 4: Simplify right side
    57,974x = 6,840,613,264
  5. Step 5: Solve for x
    x = 6,840,613,264/57,974
  6. Step 6: Final answer
    x = 117,994.50

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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.