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Finding the Third Proportional to 59,568 and 89,288

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Solution

The third proportional to 59,568 and 89,288 is: 133,836.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,568 : 89,288 = 89,288 : x
  2. Step 2: Convert to fraction form
    59,568/89,288 = 89,288/x
  3. Step 3: Cross multiply
    59,568x = 89,288 × 89,288
  4. Step 4: Simplify right side
    59,568x = 7,972,346,944
  5. Step 5: Solve for x
    x = 7,972,346,944/59,568
  6. Step 6: Final answer
    x = 133,836.07

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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.