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Finding the Third Proportional to 118,414 and 180,052

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Solution

The third proportional to 118,414 and 180,052 is: 273,774.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,414 : 180,052 = 180,052 : x
  2. Step 2: Convert to fraction form
    118,414/180,052 = 180,052/x
  3. Step 3: Cross multiply
    118,414x = 180,052 × 180,052
  4. Step 4: Simplify right side
    118,414x = 32,418,722,704
  5. Step 5: Solve for x
    x = 32,418,722,704/118,414
  6. Step 6: Final answer
    x = 273,774.41

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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.