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Finding the Third Proportional to 60,930 and 133,631

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Solution

The third proportional to 60,930 and 133,631 is: 293,078.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,930 : 133,631 = 133,631 : x
  2. Step 2: Convert to fraction form
    60,930/133,631 = 133,631/x
  3. Step 3: Cross multiply
    60,930x = 133,631 × 133,631
  4. Step 4: Simplify right side
    60,930x = 17,857,244,161
  5. Step 5: Solve for x
    x = 17,857,244,161/60,930
  6. Step 6: Final answer
    x = 293,078.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.