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Finding the Third Proportional to 50,742 and 109,044

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Solution

The third proportional to 50,742 and 109,044 is: 234,334.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,742 : 109,044 = 109,044 : x
  2. Step 2: Convert to fraction form
    50,742/109,044 = 109,044/x
  3. Step 3: Cross multiply
    50,742x = 109,044 × 109,044
  4. Step 4: Simplify right side
    50,742x = 11,890,593,936
  5. Step 5: Solve for x
    x = 11,890,593,936/50,742
  6. Step 6: Final answer
    x = 234,334.36

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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.