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Finding the Third Proportional to 63,384 and 134,847

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Solution

The third proportional to 63,384 and 134,847 is: 286,881.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,384 : 134,847 = 134,847 : x
  2. Step 2: Convert to fraction form
    63,384/134,847 = 134,847/x
  3. Step 3: Cross multiply
    63,384x = 134,847 × 134,847
  4. Step 4: Simplify right side
    63,384x = 18,183,713,409
  5. Step 5: Solve for x
    x = 18,183,713,409/63,384
  6. Step 6: Final answer
    x = 286,881.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.