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Finding the Third Proportional to 36,213 and 76,773

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Solution

The third proportional to 36,213 and 76,773 is: 162,761.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,213 : 76,773 = 76,773 : x
  2. Step 2: Convert to fraction form
    36,213/76,773 = 76,773/x
  3. Step 3: Cross multiply
    36,213x = 76,773 × 76,773
  4. Step 4: Simplify right side
    36,213x = 5,894,093,529
  5. Step 5: Solve for x
    x = 5,894,093,529/36,213
  6. Step 6: Final answer
    x = 162,761.81

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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.