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Finding the Third Proportional to 50,967 and 109,777.50

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Solution

The third proportional to 50,967 and 109,777.50 is: 236,449.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,967 : 109,777.50 = 109,777.50 : x
  2. Step 2: Convert to fraction form
    50,967/109,777.50 = 109,777.50/x
  3. Step 3: Cross multiply
    50,967x = 109,777.50 × 109,777.50
  4. Step 4: Simplify right side
    50,967x = 12,051,099,506.25
  5. Step 5: Solve for x
    x = 12,051,099,506.25/50,967
  6. Step 6: Final answer
    x = 236,449.07

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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.