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Finding the Third Proportional to 63,398 and 134,536

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Solution

The third proportional to 63,398 and 134,536 is: 285,496.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,398 : 134,536 = 134,536 : x
  2. Step 2: Convert to fraction form
    63,398/134,536 = 134,536/x
  3. Step 3: Cross multiply
    63,398x = 134,536 × 134,536
  4. Step 4: Simplify right side
    63,398x = 18,099,935,296
  5. Step 5: Solve for x
    x = 18,099,935,296/63,398
  6. Step 6: Final answer
    x = 285,496.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.