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Finding the Third Proportional to 100,272 and 214,077

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Solution

The third proportional to 100,272 and 214,077 is: 457,046.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,272 : 214,077 = 214,077 : x
  2. Step 2: Convert to fraction form
    100,272/214,077 = 214,077/x
  3. Step 3: Cross multiply
    100,272x = 214,077 × 214,077
  4. Step 4: Simplify right side
    100,272x = 45,828,961,929
  5. Step 5: Solve for x
    x = 45,828,961,929/100,272
  6. Step 6: Final answer
    x = 457,046.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.