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Finding the Third Proportional to 50,742 and 109,043

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Solution

The third proportional to 50,742 and 109,043 is: 234,330.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,742 : 109,043 = 109,043 : x
  2. Step 2: Convert to fraction form
    50,742/109,043 = 109,043/x
  3. Step 3: Cross multiply
    50,742x = 109,043 × 109,043
  4. Step 4: Simplify right side
    50,742x = 11,890,375,849
  5. Step 5: Solve for x
    x = 11,890,375,849/50,742
  6. Step 6: Final answer
    x = 234,330.06

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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.