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Finding the Third Proportional to 51,236 and 76,854

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Solution

The third proportional to 51,236 and 76,854 is: 115,281

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,236 : 76,854 = 76,854 : x
  2. Step 2: Convert to fraction form
    51,236/76,854 = 76,854/x
  3. Step 3: Cross multiply
    51,236x = 76,854 × 76,854
  4. Step 4: Simplify right side
    51,236x = 5,906,537,316
  5. Step 5: Solve for x
    x = 5,906,537,316/51,236
  6. Step 6: Final answer
    x = 115,281

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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.