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Finding the Third Proportional to 61,434 and 133,794

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Solution

The third proportional to 61,434 and 133,794 is: 291,383.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,434 : 133,794 = 133,794 : x
  2. Step 2: Convert to fraction form
    61,434/133,794 = 133,794/x
  3. Step 3: Cross multiply
    61,434x = 133,794 × 133,794
  4. Step 4: Simplify right side
    61,434x = 17,900,834,436
  5. Step 5: Solve for x
    x = 17,900,834,436/61,434
  6. Step 6: Final answer
    x = 291,383.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.