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Finding the Third Proportional to 54,716 and 89,337

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Solution

The third proportional to 54,716 and 89,337 is: 145,864.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,716 : 89,337 = 89,337 : x
  2. Step 2: Convert to fraction form
    54,716/89,337 = 89,337/x
  3. Step 3: Cross multiply
    54,716x = 89,337 × 89,337
  4. Step 4: Simplify right side
    54,716x = 7,981,099,569
  5. Step 5: Solve for x
    x = 7,981,099,569/54,716
  6. Step 6: Final answer
    x = 145,864.09

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.