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Finding the Third Proportional to 53,794.13 and 117,429.75

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Solution

The third proportional to 53,794.13 and 117,429.75 is: 256,342.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,794.13 : 117,429.75 = 117,429.75 : x
  2. Step 2: Convert to fraction form
    53,794.13/117,429.75 = 117,429.75/x
  3. Step 3: Cross multiply
    53,794.13x = 117,429.75 × 117,429.75
  4. Step 4: Simplify right side
    53,794.13x = 13,789,746,185.06
  5. Step 5: Solve for x
    x = 13,789,746,185.06/53,794.13
  6. Step 6: Final answer
    x = 256,342.98

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