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Finding the Third Proportional to 63,752 and 131,634

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Solution

The third proportional to 63,752 and 131,634 is: 271,795.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,752 : 131,634 = 131,634 : x
  2. Step 2: Convert to fraction form
    63,752/131,634 = 131,634/x
  3. Step 3: Cross multiply
    63,752x = 131,634 × 131,634
  4. Step 4: Simplify right side
    63,752x = 17,327,509,956
  5. Step 5: Solve for x
    x = 17,327,509,956/63,752
  6. Step 6: Final answer
    x = 271,795.55

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.