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Finding the Third Proportional to 25,742 and 55,912

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Solution

The third proportional to 25,742 and 55,912 is: 121,441.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,742 : 55,912 = 55,912 : x
  2. Step 2: Convert to fraction form
    25,742/55,912 = 55,912/x
  3. Step 3: Cross multiply
    25,742x = 55,912 × 55,912
  4. Step 4: Simplify right side
    25,742x = 3,126,151,744
  5. Step 5: Solve for x
    x = 3,126,151,744/25,742
  6. Step 6: Final answer
    x = 121,441.68

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.