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Finding the Third Proportional to 36,518 and 76,725

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Solution

The third proportional to 36,518 and 76,725 is: 161,200.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,518 : 76,725 = 76,725 : x
  2. Step 2: Convert to fraction form
    36,518/76,725 = 76,725/x
  3. Step 3: Cross multiply
    36,518x = 76,725 × 76,725
  4. Step 4: Simplify right side
    36,518x = 5,886,725,625
  5. Step 5: Solve for x
    x = 5,886,725,625/36,518
  6. Step 6: Final answer
    x = 161,200.66

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.