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Finding the Third Proportional to 49,344 and 108,529.50

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Solution

The third proportional to 49,344 and 108,529.50 is: 238,704.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,344 : 108,529.50 = 108,529.50 : x
  2. Step 2: Convert to fraction form
    49,344/108,529.50 = 108,529.50/x
  3. Step 3: Cross multiply
    49,344x = 108,529.50 × 108,529.50
  4. Step 4: Simplify right side
    49,344x = 11,778,652,370.25
  5. Step 5: Solve for x
    x = 11,778,652,370.25/49,344
  6. Step 6: Final answer
    x = 238,704.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.