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Finding the Third Proportional to 63,652.50 and 133,704

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Solution

The third proportional to 63,652.50 and 133,704 is: 280,849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,652.50 : 133,704 = 133,704 : x
  2. Step 2: Convert to fraction form
    63,652.50/133,704 = 133,704/x
  3. Step 3: Cross multiply
    63,652.50x = 133,704 × 133,704
  4. Step 4: Simplify right side
    63,652.50x = 17,876,759,616
  5. Step 5: Solve for x
    x = 17,876,759,616/63,652.50
  6. Step 6: Final answer
    x = 280,849.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.