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Finding the Third Proportional to 53,935.88 and 117,708.19

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Solution

The third proportional to 53,935.88 and 117,708.19 is: 256,883.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,935.88 : 117,708.19 = 117,708.19 : x
  2. Step 2: Convert to fraction form
    53,935.88/117,708.19 = 117,708.19/x
  3. Step 3: Cross multiply
    53,935.88x = 117,708.19 × 117,708.19
  4. Step 4: Simplify right side
    53,935.88x = 13,855,217,404.54
  5. Step 5: Solve for x
    x = 13,855,217,404.54/53,935.88
  6. Step 6: Final answer
    x = 256,883.15

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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.