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Finding the Third Proportional to 62,322 and 96,755

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Solution

The third proportional to 62,322 and 96,755 is: 150,212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,322 : 96,755 = 96,755 : x
  2. Step 2: Convert to fraction form
    62,322/96,755 = 96,755/x
  3. Step 3: Cross multiply
    62,322x = 96,755 × 96,755
  4. Step 4: Simplify right side
    62,322x = 9,361,530,025
  5. Step 5: Solve for x
    x = 9,361,530,025/62,322
  6. Step 6: Final answer
    x = 150,212.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.