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Finding the Third Proportional to 57,591 and 88,848

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Solution

The third proportional to 57,591 and 88,848 is: 137,069.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,591 : 88,848 = 88,848 : x
  2. Step 2: Convert to fraction form
    57,591/88,848 = 88,848/x
  3. Step 3: Cross multiply
    57,591x = 88,848 × 88,848
  4. Step 4: Simplify right side
    57,591x = 7,893,967,104
  5. Step 5: Solve for x
    x = 7,893,967,104/57,591
  6. Step 6: Final answer
    x = 137,069.46

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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.