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Finding the Third Proportional to 63,212 and 146,336

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Solution

The third proportional to 63,212 and 146,336 is: 338,768.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,212 : 146,336 = 146,336 : x
  2. Step 2: Convert to fraction form
    63,212/146,336 = 146,336/x
  3. Step 3: Cross multiply
    63,212x = 146,336 × 146,336
  4. Step 4: Simplify right side
    63,212x = 21,414,224,896
  5. Step 5: Solve for x
    x = 21,414,224,896/63,212
  6. Step 6: Final answer
    x = 338,768.35

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.