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Finding the Third Proportional to 100,030 and 236,126

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Solution

The third proportional to 100,030 and 236,126 is: 557,387.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,030 : 236,126 = 236,126 : x
  2. Step 2: Convert to fraction form
    100,030/236,126 = 236,126/x
  3. Step 3: Cross multiply
    100,030x = 236,126 × 236,126
  4. Step 4: Simplify right side
    100,030x = 55,755,487,876
  5. Step 5: Solve for x
    x = 55,755,487,876/100,030
  6. Step 6: Final answer
    x = 557,387.66

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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.