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Finding the Third Proportional to 62,338 and 133,606

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Solution

The third proportional to 62,338 and 133,606 is: 286,351.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,338 : 133,606 = 133,606 : x
  2. Step 2: Convert to fraction form
    62,338/133,606 = 133,606/x
  3. Step 3: Cross multiply
    62,338x = 133,606 × 133,606
  4. Step 4: Simplify right side
    62,338x = 17,850,563,236
  5. Step 5: Solve for x
    x = 17,850,563,236/62,338
  6. Step 6: Final answer
    x = 286,351.23

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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.