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Finding the Third Proportional to 57,161 and 89,400

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Solution

The third proportional to 57,161 and 89,400 is: 139,821.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,161 : 89,400 = 89,400 : x
  2. Step 2: Convert to fraction form
    57,161/89,400 = 89,400/x
  3. Step 3: Cross multiply
    57,161x = 89,400 × 89,400
  4. Step 4: Simplify right side
    57,161x = 7,992,360,000
  5. Step 5: Solve for x
    x = 7,992,360,000/57,161
  6. Step 6: Final answer
    x = 139,821.91

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.