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Finding the Third Proportional to 42,786.38 and 95,410.94

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Solution

The third proportional to 42,786.38 and 95,410.94 is: 212,760.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,786.38 : 95,410.94 = 95,410.94 : x
  2. Step 2: Convert to fraction form
    42,786.38/95,410.94 = 95,410.94/x
  3. Step 3: Cross multiply
    42,786.38x = 95,410.94 × 95,410.94
  4. Step 4: Simplify right side
    42,786.38x = 9,103,246,994.63
  5. Step 5: Solve for x
    x = 9,103,246,994.63/42,786.38
  6. Step 6: Final answer
    x = 212,760.42

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.