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Finding the Third Proportional to 66,753 and 93,325

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Solution

The third proportional to 66,753 and 93,325 is: 130,474.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,753 : 93,325 = 93,325 : x
  2. Step 2: Convert to fraction form
    66,753/93,325 = 93,325/x
  3. Step 3: Cross multiply
    66,753x = 93,325 × 93,325
  4. Step 4: Simplify right side
    66,753x = 8,709,555,625
  5. Step 5: Solve for x
    x = 8,709,555,625/66,753
  6. Step 6: Final answer
    x = 130,474.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.