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Finding the Third Proportional to 62,768 and 87,794

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Solution

The third proportional to 62,768 and 87,794 is: 122,798.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,768 : 87,794 = 87,794 : x
  2. Step 2: Convert to fraction form
    62,768/87,794 = 87,794/x
  3. Step 3: Cross multiply
    62,768x = 87,794 × 87,794
  4. Step 4: Simplify right side
    62,768x = 7,707,786,436
  5. Step 5: Solve for x
    x = 7,707,786,436/62,768
  6. Step 6: Final answer
    x = 122,798.03

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.