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Finding the Third Proportional to 57,269 and 89,062

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Solution

The third proportional to 57,269 and 89,062 is: 138,504.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,269 : 89,062 = 89,062 : x
  2. Step 2: Convert to fraction form
    57,269/89,062 = 89,062/x
  3. Step 3: Cross multiply
    57,269x = 89,062 × 89,062
  4. Step 4: Simplify right side
    57,269x = 7,932,039,844
  5. Step 5: Solve for x
    x = 7,932,039,844/57,269
  6. Step 6: Final answer
    x = 138,504.95

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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.