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Finding the Third Proportional to 118,418 and 180,057

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Solution

The third proportional to 118,418 and 180,057 is: 273,780.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,418 : 180,057 = 180,057 : x
  2. Step 2: Convert to fraction form
    118,418/180,057 = 180,057/x
  3. Step 3: Cross multiply
    118,418x = 180,057 × 180,057
  4. Step 4: Simplify right side
    118,418x = 32,420,523,249
  5. Step 5: Solve for x
    x = 32,420,523,249/118,418
  6. Step 6: Final answer
    x = 273,780.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.