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Finding the Third Proportional to 63,334 and 135,517

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Solution

The third proportional to 63,334 and 135,517 is: 289,968.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,334 : 135,517 = 135,517 : x
  2. Step 2: Convert to fraction form
    63,334/135,517 = 135,517/x
  3. Step 3: Cross multiply
    63,334x = 135,517 × 135,517
  4. Step 4: Simplify right side
    63,334x = 18,364,857,289
  5. Step 5: Solve for x
    x = 18,364,857,289/63,334
  6. Step 6: Final answer
    x = 289,968.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.