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Finding the Third Proportional to 100,015 and 236,094

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Solution

The third proportional to 100,015 and 236,094 is: 557,320.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,015 : 236,094 = 236,094 : x
  2. Step 2: Convert to fraction form
    100,015/236,094 = 236,094/x
  3. Step 3: Cross multiply
    100,015x = 236,094 × 236,094
  4. Step 4: Simplify right side
    100,015x = 55,740,376,836
  5. Step 5: Solve for x
    x = 55,740,376,836/100,015
  6. Step 6: Final answer
    x = 557,320.17

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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.