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Finding the Third Proportional to 36,099 and 75,477

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Solution

The third proportional to 36,099 and 75,477 is: 157,809.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,099 : 75,477 = 75,477 : x
  2. Step 2: Convert to fraction form
    36,099/75,477 = 75,477/x
  3. Step 3: Cross multiply
    36,099x = 75,477 × 75,477
  4. Step 4: Simplify right side
    36,099x = 5,696,777,529
  5. Step 5: Solve for x
    x = 5,696,777,529/36,099
  6. Step 6: Final answer
    x = 157,809.84

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.