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Finding the Third Proportional to 59,863 and 89,275

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Solution

The third proportional to 59,863 and 89,275 is: 133,137.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,863 : 89,275 = 89,275 : x
  2. Step 2: Convert to fraction form
    59,863/89,275 = 89,275/x
  3. Step 3: Cross multiply
    59,863x = 89,275 × 89,275
  4. Step 4: Simplify right side
    59,863x = 7,970,025,625
  5. Step 5: Solve for x
    x = 7,970,025,625/59,863
  6. Step 6: Final answer
    x = 133,137.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.