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Finding the Third Proportional to 62,330 and 133,417

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Solution

The third proportional to 62,330 and 133,417 is: 285,578.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,330 : 133,417 = 133,417 : x
  2. Step 2: Convert to fraction form
    62,330/133,417 = 133,417/x
  3. Step 3: Cross multiply
    62,330x = 133,417 × 133,417
  4. Step 4: Simplify right side
    62,330x = 17,800,095,889
  5. Step 5: Solve for x
    x = 17,800,095,889/62,330
  6. Step 6: Final answer
    x = 285,578.31

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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.