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Finding the Third Proportional to 57,141.07 and 123,816.09

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Solution

The third proportional to 57,141.07 and 123,816.09 is: 268,290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,141.07 : 123,816.09 = 123,816.09 : x
  2. Step 2: Convert to fraction form
    57,141.07/123,816.09 = 123,816.09/x
  3. Step 3: Cross multiply
    57,141.07x = 123,816.09 × 123,816.09
  4. Step 4: Simplify right side
    57,141.07x = 15,330,425,071.51
  5. Step 5: Solve for x
    x = 15,330,425,071.51/57,141.07
  6. Step 6: Final answer
    x = 268,290.83

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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.