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Finding the Third Proportional to 113,649 and 173,934

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Solution

The third proportional to 113,649 and 173,934 is: 266,197.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,649 : 173,934 = 173,934 : x
  2. Step 2: Convert to fraction form
    113,649/173,934 = 173,934/x
  3. Step 3: Cross multiply
    113,649x = 173,934 × 173,934
  4. Step 4: Simplify right side
    113,649x = 30,253,036,356
  5. Step 5: Solve for x
    x = 30,253,036,356/113,649
  6. Step 6: Final answer
    x = 266,197.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.