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Finding the Third Proportional to 62,322 and 133,392

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Solution

The third proportional to 62,322 and 133,392 is: 285,507.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,322 : 133,392 = 133,392 : x
  2. Step 2: Convert to fraction form
    62,322/133,392 = 133,392/x
  3. Step 3: Cross multiply
    62,322x = 133,392 × 133,392
  4. Step 4: Simplify right side
    62,322x = 17,793,425,664
  5. Step 5: Solve for x
    x = 17,793,425,664/62,322
  6. Step 6: Final answer
    x = 285,507.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.