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Finding the Third Proportional to 94,118 and 146,734

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Solution

The third proportional to 94,118 and 146,734 is: 228,764.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,118 : 146,734 = 146,734 : x
  2. Step 2: Convert to fraction form
    94,118/146,734 = 146,734/x
  3. Step 3: Cross multiply
    94,118x = 146,734 × 146,734
  4. Step 4: Simplify right side
    94,118x = 21,530,866,756
  5. Step 5: Solve for x
    x = 21,530,866,756/94,118
  6. Step 6: Final answer
    x = 228,764.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.