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Finding the Third Proportional to 63,645.75 and 139,532.63

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Solution

The third proportional to 63,645.75 and 139,532.63 is: 305,901.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,645.75 : 139,532.63 = 139,532.63 : x
  2. Step 2: Convert to fraction form
    63,645.75/139,532.63 = 139,532.63/x
  3. Step 3: Cross multiply
    63,645.75x = 139,532.63 × 139,532.63
  4. Step 4: Simplify right side
    63,645.75x = 19,469,353,439.39
  5. Step 5: Solve for x
    x = 19,469,353,439.39/63,645.75
  6. Step 6: Final answer
    x = 305,901.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.