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Finding the Third Proportional to 57,354 and 133,344.75

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Solution

The third proportional to 57,354 and 133,344.75 is: 310,018.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,354 : 133,344.75 = 133,344.75 : x
  2. Step 2: Convert to fraction form
    57,354/133,344.75 = 133,344.75/x
  3. Step 3: Cross multiply
    57,354x = 133,344.75 × 133,344.75
  4. Step 4: Simplify right side
    57,354x = 17,780,822,352.56
  5. Step 5: Solve for x
    x = 17,780,822,352.56/57,354
  6. Step 6: Final answer
    x = 310,018.87

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.