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Finding the Third Proportional to 100,029.50 and 236,125

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Solution

The third proportional to 100,029.50 and 236,125 is: 557,385.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,029.50 : 236,125 = 236,125 : x
  2. Step 2: Convert to fraction form
    100,029.50/236,125 = 236,125/x
  3. Step 3: Cross multiply
    100,029.50x = 236,125 × 236,125
  4. Step 4: Simplify right side
    100,029.50x = 55,755,015,625
  5. Step 5: Solve for x
    x = 55,755,015,625/100,029.50
  6. Step 6: Final answer
    x = 557,385.73

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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.