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Finding the Third Proportional to 42,658 and 93,794

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Solution

The third proportional to 42,658 and 93,794 is: 206,228.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,658 : 93,794 = 93,794 : x
  2. Step 2: Convert to fraction form
    42,658/93,794 = 93,794/x
  3. Step 3: Cross multiply
    42,658x = 93,794 × 93,794
  4. Step 4: Simplify right side
    42,658x = 8,797,314,436
  5. Step 5: Solve for x
    x = 8,797,314,436/42,658
  6. Step 6: Final answer
    x = 206,228.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.