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Finding the Third Proportional to 57,864.38 and 77,160.09

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Solution

The third proportional to 57,864.38 and 77,160.09 is: 102,890.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,864.38 : 77,160.09 = 77,160.09 : x
  2. Step 2: Convert to fraction form
    57,864.38/77,160.09 = 77,160.09/x
  3. Step 3: Cross multiply
    57,864.38x = 77,160.09 × 77,160.09
  4. Step 4: Simplify right side
    57,864.38x = 5,953,680,067.51
  5. Step 5: Solve for x
    x = 5,953,680,067.51/57,864.38
  6. Step 6: Final answer
    x = 102,890.25

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.