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Finding the Third Proportional to 100,034 and 236,137

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Solution

The third proportional to 100,034 and 236,137 is: 557,417.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,034 : 236,137 = 236,137 : x
  2. Step 2: Convert to fraction form
    100,034/236,137 = 236,137/x
  3. Step 3: Cross multiply
    100,034x = 236,137 × 236,137
  4. Step 4: Simplify right side
    100,034x = 55,760,682,769
  5. Step 5: Solve for x
    x = 55,760,682,769/100,034
  6. Step 6: Final answer
    x = 557,417.31

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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.