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Finding the Third Proportional to 57,996 and 87,459.75

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Solution

The third proportional to 57,996 and 87,459.75 is: 131,891.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,996 : 87,459.75 = 87,459.75 : x
  2. Step 2: Convert to fraction form
    57,996/87,459.75 = 87,459.75/x
  3. Step 3: Cross multiply
    57,996x = 87,459.75 × 87,459.75
  4. Step 4: Simplify right side
    57,996x = 7,649,207,870.06
  5. Step 5: Solve for x
    x = 7,649,207,870.06/57,996
  6. Step 6: Final answer
    x = 131,891.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.