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Finding the Third Proportional to 57,606 and 89,406

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Solution

The third proportional to 57,606 and 89,406 is: 138,760.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,606 : 89,406 = 89,406 : x
  2. Step 2: Convert to fraction form
    57,606/89,406 = 89,406/x
  3. Step 3: Cross multiply
    57,606x = 89,406 × 89,406
  4. Step 4: Simplify right side
    57,606x = 7,993,432,836
  5. Step 5: Solve for x
    x = 7,993,432,836/57,606
  6. Step 6: Final answer
    x = 138,760.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.