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Finding the Third Proportional to 107,786 and 236,761

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Solution

The third proportional to 107,786 and 236,761 is: 520,065.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,786 : 236,761 = 236,761 : x
  2. Step 2: Convert to fraction form
    107,786/236,761 = 236,761/x
  3. Step 3: Cross multiply
    107,786x = 236,761 × 236,761
  4. Step 4: Simplify right side
    107,786x = 56,055,771,121
  5. Step 5: Solve for x
    x = 56,055,771,121/107,786
  6. Step 6: Final answer
    x = 520,065.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.