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Finding the Third Proportional to 59,812 and 128,839

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Solution

The third proportional to 59,812 and 128,839 is: 277,527.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,812 : 128,839 = 128,839 : x
  2. Step 2: Convert to fraction form
    59,812/128,839 = 128,839/x
  3. Step 3: Cross multiply
    59,812x = 128,839 × 128,839
  4. Step 4: Simplify right side
    59,812x = 16,599,487,921
  5. Step 5: Solve for x
    x = 16,599,487,921/59,812
  6. Step 6: Final answer
    x = 277,527.72

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.