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Finding the Third Proportional to 63,104 and 139,336

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Solution

The third proportional to 63,104 and 139,336 is: 307,659.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,104 : 139,336 = 139,336 : x
  2. Step 2: Convert to fraction form
    63,104/139,336 = 139,336/x
  3. Step 3: Cross multiply
    63,104x = 139,336 × 139,336
  4. Step 4: Simplify right side
    63,104x = 19,414,520,896
  5. Step 5: Solve for x
    x = 19,414,520,896/63,104
  6. Step 6: Final answer
    x = 307,659.12

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.