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Finding the Third Proportional to 67,207.50 and 146,713

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Solution

The third proportional to 67,207.50 and 146,713 is: 320,272.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,207.50 : 146,713 = 146,713 : x
  2. Step 2: Convert to fraction form
    67,207.50/146,713 = 146,713/x
  3. Step 3: Cross multiply
    67,207.50x = 146,713 × 146,713
  4. Step 4: Simplify right side
    67,207.50x = 21,524,704,369
  5. Step 5: Solve for x
    x = 21,524,704,369/67,207.50
  6. Step 6: Final answer
    x = 320,272.36

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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.