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Finding the Third Proportional to 118,242 and 173,903

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Solution

The third proportional to 118,242 and 173,903 is: 255,765.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,242 : 173,903 = 173,903 : x
  2. Step 2: Convert to fraction form
    118,242/173,903 = 173,903/x
  3. Step 3: Cross multiply
    118,242x = 173,903 × 173,903
  4. Step 4: Simplify right side
    118,242x = 30,242,253,409
  5. Step 5: Solve for x
    x = 30,242,253,409/118,242
  6. Step 6: Final answer
    x = 255,765.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.