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Finding the Third Proportional to 63,765 and 139,650.75

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Solution

The third proportional to 63,765 and 139,650.75 is: 305,846.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,765 : 139,650.75 = 139,650.75 : x
  2. Step 2: Convert to fraction form
    63,765/139,650.75 = 139,650.75/x
  3. Step 3: Cross multiply
    63,765x = 139,650.75 × 139,650.75
  4. Step 4: Simplify right side
    63,765x = 19,502,331,975.56
  5. Step 5: Solve for x
    x = 19,502,331,975.56/63,765
  6. Step 6: Final answer
    x = 305,846.97

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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.