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Finding the Third Proportional to 63,338 and 136,718

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Solution

The third proportional to 63,338 and 136,718 is: 295,112.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,338 : 136,718 = 136,718 : x
  2. Step 2: Convert to fraction form
    63,338/136,718 = 136,718/x
  3. Step 3: Cross multiply
    63,338x = 136,718 × 136,718
  4. Step 4: Simplify right side
    63,338x = 18,691,811,524
  5. Step 5: Solve for x
    x = 18,691,811,524/63,338
  6. Step 6: Final answer
    x = 295,112.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.