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Finding the Third Proportional to 65,793 and 142,093

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Solution

The third proportional to 65,793 and 142,093 is: 306,877.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,793 : 142,093 = 142,093 : x
  2. Step 2: Convert to fraction form
    65,793/142,093 = 142,093/x
  3. Step 3: Cross multiply
    65,793x = 142,093 × 142,093
  4. Step 4: Simplify right side
    65,793x = 20,190,420,649
  5. Step 5: Solve for x
    x = 20,190,420,649/65,793
  6. Step 6: Final answer
    x = 306,877.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.