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Finding the Third Proportional to 60,204 and 93,753

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Solution

The third proportional to 60,204 and 93,753 is: 145,997.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,204 : 93,753 = 93,753 : x
  2. Step 2: Convert to fraction form
    60,204/93,753 = 93,753/x
  3. Step 3: Cross multiply
    60,204x = 93,753 × 93,753
  4. Step 4: Simplify right side
    60,204x = 8,789,625,009
  5. Step 5: Solve for x
    x = 8,789,625,009/60,204
  6. Step 6: Final answer
    x = 145,997.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.