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Finding the Third Proportional to 36,699 and 76,356

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Solution

The third proportional to 36,699 and 76,356 is: 158,866.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,699 : 76,356 = 76,356 : x
  2. Step 2: Convert to fraction form
    36,699/76,356 = 76,356/x
  3. Step 3: Cross multiply
    36,699x = 76,356 × 76,356
  4. Step 4: Simplify right side
    36,699x = 5,830,238,736
  5. Step 5: Solve for x
    x = 5,830,238,736/36,699
  6. Step 6: Final answer
    x = 158,866.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.