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Finding the Third Proportional to 63,252 and 136,278

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Solution

The third proportional to 63,252 and 136,278 is: 293,614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,252 : 136,278 = 136,278 : x
  2. Step 2: Convert to fraction form
    63,252/136,278 = 136,278/x
  3. Step 3: Cross multiply
    63,252x = 136,278 × 136,278
  4. Step 4: Simplify right side
    63,252x = 18,571,693,284
  5. Step 5: Solve for x
    x = 18,571,693,284/63,252
  6. Step 6: Final answer
    x = 293,614.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.