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Finding the Third Proportional to 57,910 and 89,610

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Solution

The third proportional to 57,910 and 89,610 is: 138,662.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,910 : 89,610 = 89,610 : x
  2. Step 2: Convert to fraction form
    57,910/89,610 = 89,610/x
  3. Step 3: Cross multiply
    57,910x = 89,610 × 89,610
  4. Step 4: Simplify right side
    57,910x = 8,029,952,100
  5. Step 5: Solve for x
    x = 8,029,952,100/57,910
  6. Step 6: Final answer
    x = 138,662.62

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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.