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Finding the Third Proportional to 118,393 and 180,543

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Solution

The third proportional to 118,393 and 180,543 is: 275,318.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,393 : 180,543 = 180,543 : x
  2. Step 2: Convert to fraction form
    118,393/180,543 = 180,543/x
  3. Step 3: Cross multiply
    118,393x = 180,543 × 180,543
  4. Step 4: Simplify right side
    118,393x = 32,595,774,849
  5. Step 5: Solve for x
    x = 32,595,774,849/118,393
  6. Step 6: Final answer
    x = 275,318.43

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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.