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Finding the Third Proportional to 117,774 and 174,375

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Solution

The third proportional to 117,774 and 174,375 is: 258,177.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,774 : 174,375 = 174,375 : x
  2. Step 2: Convert to fraction form
    117,774/174,375 = 174,375/x
  3. Step 3: Cross multiply
    117,774x = 174,375 × 174,375
  4. Step 4: Simplify right side
    117,774x = 30,406,640,625
  5. Step 5: Solve for x
    x = 30,406,640,625/117,774
  6. Step 6: Final answer
    x = 258,177.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.