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Finding the Third Proportional to 133,799 and 183,477

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Solution

The third proportional to 133,799 and 183,477 is: 251,599.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,799 : 183,477 = 183,477 : x
  2. Step 2: Convert to fraction form
    133,799/183,477 = 183,477/x
  3. Step 3: Cross multiply
    133,799x = 183,477 × 183,477
  4. Step 4: Simplify right side
    133,799x = 33,663,809,529
  5. Step 5: Solve for x
    x = 33,663,809,529/133,799
  6. Step 6: Final answer
    x = 251,599.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.