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Finding the Third Proportional to 63,313 and 135,099

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Solution

The third proportional to 63,313 and 135,099 is: 288,277.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,313 : 135,099 = 135,099 : x
  2. Step 2: Convert to fraction form
    63,313/135,099 = 135,099/x
  3. Step 3: Cross multiply
    63,313x = 135,099 × 135,099
  4. Step 4: Simplify right side
    63,313x = 18,251,739,801
  5. Step 5: Solve for x
    x = 18,251,739,801/63,313
  6. Step 6: Final answer
    x = 288,277.92

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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.