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Finding the Third Proportional to 57,022 and 82,138

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Solution

The third proportional to 57,022 and 82,138 is: 118,316.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,022 : 82,138 = 82,138 : x
  2. Step 2: Convert to fraction form
    57,022/82,138 = 82,138/x
  3. Step 3: Cross multiply
    57,022x = 82,138 × 82,138
  4. Step 4: Simplify right side
    57,022x = 6,746,651,044
  5. Step 5: Solve for x
    x = 6,746,651,044/57,022
  6. Step 6: Final answer
    x = 118,316.63

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.