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Finding the Third Proportional to 62,382 and 133,503

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Solution

The third proportional to 62,382 and 133,503 is: 285,708.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,382 : 133,503 = 133,503 : x
  2. Step 2: Convert to fraction form
    62,382/133,503 = 133,503/x
  3. Step 3: Cross multiply
    62,382x = 133,503 × 133,503
  4. Step 4: Simplify right side
    62,382x = 17,823,051,009
  5. Step 5: Solve for x
    x = 17,823,051,009/62,382
  6. Step 6: Final answer
    x = 285,708.23

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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.