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Finding the Third Proportional to 53,983.13 and 117,794.25

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Solution

The third proportional to 53,983.13 and 117,794.25 is: 257,033.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,983.13 : 117,794.25 = 117,794.25 : x
  2. Step 2: Convert to fraction form
    53,983.13/117,794.25 = 117,794.25/x
  3. Step 3: Cross multiply
    53,983.13x = 117,794.25 × 117,794.25
  4. Step 4: Simplify right side
    53,983.13x = 13,875,485,333.06
  5. Step 5: Solve for x
    x = 13,875,485,333.06/53,983.13
  6. Step 6: Final answer
    x = 257,033.76

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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.