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Finding the Third Proportional to 53,930 and 117,022

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Solution

The third proportional to 53,930 and 117,022 is: 253,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,930 : 117,022 = 117,022 : x
  2. Step 2: Convert to fraction form
    53,930/117,022 = 117,022/x
  3. Step 3: Cross multiply
    53,930x = 117,022 × 117,022
  4. Step 4: Simplify right side
    53,930x = 13,694,148,484
  5. Step 5: Solve for x
    x = 13,694,148,484/53,930
  6. Step 6: Final answer
    x = 253,924.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.