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Finding the Third Proportional to 63,424 and 136,657

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Solution

The third proportional to 63,424 and 136,657 is: 294,449.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,424 : 136,657 = 136,657 : x
  2. Step 2: Convert to fraction form
    63,424/136,657 = 136,657/x
  3. Step 3: Cross multiply
    63,424x = 136,657 × 136,657
  4. Step 4: Simplify right side
    63,424x = 18,675,135,649
  5. Step 5: Solve for x
    x = 18,675,135,649/63,424
  6. Step 6: Final answer
    x = 294,449.04

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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.