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Finding the Third Proportional to 42,794 and 93,108

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Solution

The third proportional to 42,794 and 93,108 is: 202,577.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,794 : 93,108 = 93,108 : x
  2. Step 2: Convert to fraction form
    42,794/93,108 = 93,108/x
  3. Step 3: Cross multiply
    42,794x = 93,108 × 93,108
  4. Step 4: Simplify right side
    42,794x = 8,669,099,664
  5. Step 5: Solve for x
    x = 8,669,099,664/42,794
  6. Step 6: Final answer
    x = 202,577.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.