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Finding the Third Proportional to 66,645 and 140,782

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Solution

The third proportional to 66,645 and 140,782 is: 297,390.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,645 : 140,782 = 140,782 : x
  2. Step 2: Convert to fraction form
    66,645/140,782 = 140,782/x
  3. Step 3: Cross multiply
    66,645x = 140,782 × 140,782
  4. Step 4: Simplify right side
    66,645x = 19,819,571,524
  5. Step 5: Solve for x
    x = 19,819,571,524/66,645
  6. Step 6: Final answer
    x = 297,390.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.