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Finding the Third Proportional to 52,841 and 117,496

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Solution

The third proportional to 52,841 and 117,496 is: 261,261.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,841 : 117,496 = 117,496 : x
  2. Step 2: Convert to fraction form
    52,841/117,496 = 117,496/x
  3. Step 3: Cross multiply
    52,841x = 117,496 × 117,496
  4. Step 4: Simplify right side
    52,841x = 13,805,310,016
  5. Step 5: Solve for x
    x = 13,805,310,016/52,841
  6. Step 6: Final answer
    x = 261,261.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.