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Finding the Third Proportional to 63,263.53 and 133,638.61

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Solution

The third proportional to 63,263.53 and 133,638.61 is: 282,299.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,263.53 : 133,638.61 = 133,638.61 : x
  2. Step 2: Convert to fraction form
    63,263.53/133,638.61 = 133,638.61/x
  3. Step 3: Cross multiply
    63,263.53x = 133,638.61 × 133,638.61
  4. Step 4: Simplify right side
    63,263.53x = 17,859,277,915.68
  5. Step 5: Solve for x
    x = 17,859,277,915.68/63,263.53
  6. Step 6: Final answer
    x = 282,299.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.