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Finding the Third Proportional to 50,924.50 and 109,651

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Solution

The third proportional to 50,924.50 and 109,651 is: 236,101.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,924.50 : 109,651 = 109,651 : x
  2. Step 2: Convert to fraction form
    50,924.50/109,651 = 109,651/x
  3. Step 3: Cross multiply
    50,924.50x = 109,651 × 109,651
  4. Step 4: Simplify right side
    50,924.50x = 12,023,341,801
  5. Step 5: Solve for x
    x = 12,023,341,801/50,924.50
  6. Step 6: Final answer
    x = 236,101.32

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.