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Finding the Third Proportional to 63,463.50 and 135,675

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Solution

The third proportional to 63,463.50 and 135,675 is: 290,051.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,463.50 : 135,675 = 135,675 : x
  2. Step 2: Convert to fraction form
    63,463.50/135,675 = 135,675/x
  3. Step 3: Cross multiply
    63,463.50x = 135,675 × 135,675
  4. Step 4: Simplify right side
    63,463.50x = 18,407,705,625
  5. Step 5: Solve for x
    x = 18,407,705,625/63,463.50
  6. Step 6: Final answer
    x = 290,051.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.