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Finding the Third Proportional to 57,045.75 and 133,284.38

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Solution

The third proportional to 57,045.75 and 133,284.38 is: 311,411.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,045.75 : 133,284.38 = 133,284.38 : x
  2. Step 2: Convert to fraction form
    57,045.75/133,284.38 = 133,284.38/x
  3. Step 3: Cross multiply
    57,045.75x = 133,284.38 × 133,284.38
  4. Step 4: Simplify right side
    57,045.75x = 17,764,724,619.14
  5. Step 5: Solve for x
    x = 17,764,724,619.14/57,045.75
  6. Step 6: Final answer
    x = 311,411.89

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.