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Finding the Third Proportional to 53,614.94 and 116,055.38

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Solution

The third proportional to 53,614.94 and 116,055.38 is: 251,214.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,614.94 : 116,055.38 = 116,055.38 : x
  2. Step 2: Convert to fraction form
    53,614.94/116,055.38 = 116,055.38/x
  3. Step 3: Cross multiply
    53,614.94x = 116,055.38 × 116,055.38
  4. Step 4: Simplify right side
    53,614.94x = 13,468,850,066.39
  5. Step 5: Solve for x
    x = 13,468,850,066.39/53,614.94
  6. Step 6: Final answer
    x = 251,214.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.