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Finding the Third Proportional to 55,964.25 and 121,665.38

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Solution

The third proportional to 55,964.25 and 121,665.38 is: 264,498.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,964.25 : 121,665.38 = 121,665.38 : x
  2. Step 2: Convert to fraction form
    55,964.25/121,665.38 = 121,665.38/x
  3. Step 3: Cross multiply
    55,964.25x = 121,665.38 × 121,665.38
  4. Step 4: Simplify right side
    55,964.25x = 14,802,463,473.89
  5. Step 5: Solve for x
    x = 14,802,463,473.89/55,964.25
  6. Step 6: Final answer
    x = 264,498.56

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