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Finding the Third Proportional to 63,896 and 138,652

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Solution

The third proportional to 63,896 and 138,652 is: 300,869.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,896 : 138,652 = 138,652 : x
  2. Step 2: Convert to fraction form
    63,896/138,652 = 138,652/x
  3. Step 3: Cross multiply
    63,896x = 138,652 × 138,652
  4. Step 4: Simplify right side
    63,896x = 19,224,377,104
  5. Step 5: Solve for x
    x = 19,224,377,104/63,896
  6. Step 6: Final answer
    x = 300,869.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.