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Finding the Third Proportional to 51,784 and 113,324

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Solution

The third proportional to 51,784 and 113,324 is: 247,998.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,784 : 113,324 = 113,324 : x
  2. Step 2: Convert to fraction form
    51,784/113,324 = 113,324/x
  3. Step 3: Cross multiply
    51,784x = 113,324 × 113,324
  4. Step 4: Simplify right side
    51,784x = 12,842,328,976
  5. Step 5: Solve for x
    x = 12,842,328,976/51,784
  6. Step 6: Final answer
    x = 247,998.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.