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Finding the Third Proportional to 100,029 and 236,127

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Solution

The third proportional to 100,029 and 236,127 is: 557,397.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,029 : 236,127 = 236,127 : x
  2. Step 2: Convert to fraction form
    100,029/236,127 = 236,127/x
  3. Step 3: Cross multiply
    100,029x = 236,127 × 236,127
  4. Step 4: Simplify right side
    100,029x = 55,755,960,129
  5. Step 5: Solve for x
    x = 55,755,960,129/100,029
  6. Step 6: Final answer
    x = 557,397.96

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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.