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Finding the Third Proportional to 36,701 and 77,343

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Solution

The third proportional to 36,701 and 77,343 is: 162,991.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,701 : 77,343 = 77,343 : x
  2. Step 2: Convert to fraction form
    36,701/77,343 = 77,343/x
  3. Step 3: Cross multiply
    36,701x = 77,343 × 77,343
  4. Step 4: Simplify right side
    36,701x = 5,981,939,649
  5. Step 5: Solve for x
    x = 5,981,939,649/36,701
  6. Step 6: Final answer
    x = 162,991.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.