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Finding the Third Proportional to 100,017 and 236,097

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Solution

The third proportional to 100,017 and 236,097 is: 557,323.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,017 : 236,097 = 236,097 : x
  2. Step 2: Convert to fraction form
    100,017/236,097 = 236,097/x
  3. Step 3: Cross multiply
    100,017x = 236,097 × 236,097
  4. Step 4: Simplify right side
    100,017x = 55,741,793,409
  5. Step 5: Solve for x
    x = 55,741,793,409/100,017
  6. Step 6: Final answer
    x = 557,323.19

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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.