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Finding the Third Proportional to 100,032 and 236,132

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Solution

The third proportional to 100,032 and 236,132 is: 557,404.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,032 : 236,132 = 236,132 : x
  2. Step 2: Convert to fraction form
    100,032/236,132 = 236,132/x
  3. Step 3: Cross multiply
    100,032x = 236,132 × 236,132
  4. Step 4: Simplify right side
    100,032x = 55,758,321,424
  5. Step 5: Solve for x
    x = 55,758,321,424/100,032
  6. Step 6: Final answer
    x = 557,404.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.