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Finding the Third Proportional to 42,664 and 68,161

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Solution

The third proportional to 42,664 and 68,161 is: 108,895.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,664 : 68,161 = 68,161 : x
  2. Step 2: Convert to fraction form
    42,664/68,161 = 68,161/x
  3. Step 3: Cross multiply
    42,664x = 68,161 × 68,161
  4. Step 4: Simplify right side
    42,664x = 4,645,921,921
  5. Step 5: Solve for x
    x = 4,645,921,921/42,664
  6. Step 6: Final answer
    x = 108,895.60

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.