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Finding the Third Proportional to 36,356 and 77,107

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Solution

The third proportional to 36,356 and 77,107 is: 163,535.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,356 : 77,107 = 77,107 : x
  2. Step 2: Convert to fraction form
    36,356/77,107 = 77,107/x
  3. Step 3: Cross multiply
    36,356x = 77,107 × 77,107
  4. Step 4: Simplify right side
    36,356x = 5,945,489,449
  5. Step 5: Solve for x
    x = 5,945,489,449/36,356
  6. Step 6: Final answer
    x = 163,535.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.