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Finding the Third Proportional to 45,900 and 67,995

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Solution

The third proportional to 45,900 and 67,995 is: 100,725.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,900 : 67,995 = 67,995 : x
  2. Step 2: Convert to fraction form
    45,900/67,995 = 67,995/x
  3. Step 3: Cross multiply
    45,900x = 67,995 × 67,995
  4. Step 4: Simplify right side
    45,900x = 4,623,320,025
  5. Step 5: Solve for x
    x = 4,623,320,025/45,900
  6. Step 6: Final answer
    x = 100,725.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.