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Finding the Third Proportional to 67,500 and 143,305.88

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Solution

The third proportional to 67,500 and 143,305.88 is: 304,245.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,500 : 143,305.88 = 143,305.88 : x
  2. Step 2: Convert to fraction form
    67,500/143,305.88 = 143,305.88/x
  3. Step 3: Cross multiply
    67,500x = 143,305.88 × 143,305.88
  4. Step 4: Simplify right side
    67,500x = 20,536,573,809.52
  5. Step 5: Solve for x
    x = 20,536,573,809.52/67,500
  6. Step 6: Final answer
    x = 304,245.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.