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Finding the Third Proportional to 59,086 and 88,672

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Solution

The third proportional to 59,086 and 88,672 is: 133,072.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,086 : 88,672 = 88,672 : x
  2. Step 2: Convert to fraction form
    59,086/88,672 = 88,672/x
  3. Step 3: Cross multiply
    59,086x = 88,672 × 88,672
  4. Step 4: Simplify right side
    59,086x = 7,862,723,584
  5. Step 5: Solve for x
    x = 7,862,723,584/59,086
  6. Step 6: Final answer
    x = 133,072.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.