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Finding the Third Proportional to 67,134.75 and 146,253

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Solution

The third proportional to 67,134.75 and 146,253 is: 318,612.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,134.75 : 146,253 = 146,253 : x
  2. Step 2: Convert to fraction form
    67,134.75/146,253 = 146,253/x
  3. Step 3: Cross multiply
    67,134.75x = 146,253 × 146,253
  4. Step 4: Simplify right side
    67,134.75x = 21,389,940,009
  5. Step 5: Solve for x
    x = 21,389,940,009/67,134.75
  6. Step 6: Final answer
    x = 318,612.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.