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Finding the Third Proportional to 100,455 and 136,801

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Solution

The third proportional to 100,455 and 136,801 is: 186,297.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,455 : 136,801 = 136,801 : x
  2. Step 2: Convert to fraction form
    100,455/136,801 = 136,801/x
  3. Step 3: Cross multiply
    100,455x = 136,801 × 136,801
  4. Step 4: Simplify right side
    100,455x = 18,714,513,601
  5. Step 5: Solve for x
    x = 18,714,513,601/100,455
  6. Step 6: Final answer
    x = 186,297.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.