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Finding the Third Proportional to 57,412 and 88,662

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Solution

The third proportional to 57,412 and 88,662 is: 136,921.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,412 : 88,662 = 88,662 : x
  2. Step 2: Convert to fraction form
    57,412/88,662 = 88,662/x
  3. Step 3: Cross multiply
    57,412x = 88,662 × 88,662
  4. Step 4: Simplify right side
    57,412x = 7,860,950,244
  5. Step 5: Solve for x
    x = 7,860,950,244/57,412
  6. Step 6: Final answer
    x = 136,921.73

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.