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Finding the Third Proportional to 57,934.50 and 135,345

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Solution

The third proportional to 57,934.50 and 135,345 is: 316,189.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,934.50 : 135,345 = 135,345 : x
  2. Step 2: Convert to fraction form
    57,934.50/135,345 = 135,345/x
  3. Step 3: Cross multiply
    57,934.50x = 135,345 × 135,345
  4. Step 4: Simplify right side
    57,934.50x = 18,318,269,025
  5. Step 5: Solve for x
    x = 18,318,269,025/57,934.50
  6. Step 6: Final answer
    x = 316,189.30

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Why These Related Problems?

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