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Finding the Third Proportional to 54,564.75 and 84,099.38

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Solution

The third proportional to 54,564.75 and 84,099.38 is: 129,620.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,564.75 : 84,099.38 = 84,099.38 : x
  2. Step 2: Convert to fraction form
    54,564.75/84,099.38 = 84,099.38/x
  3. Step 3: Cross multiply
    54,564.75x = 84,099.38 × 84,099.38
  4. Step 4: Simplify right side
    54,564.75x = 7,072,704,875.39
  5. Step 5: Solve for x
    x = 7,072,704,875.39/54,564.75
  6. Step 6: Final answer
    x = 129,620.40

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.