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Finding the Third Proportional to 114,714 and 173,799

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Solution

The third proportional to 114,714 and 173,799 is: 263,316.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,714 : 173,799 = 173,799 : x
  2. Step 2: Convert to fraction form
    114,714/173,799 = 173,799/x
  3. Step 3: Cross multiply
    114,714x = 173,799 × 173,799
  4. Step 4: Simplify right side
    114,714x = 30,206,092,401
  5. Step 5: Solve for x
    x = 30,206,092,401/114,714
  6. Step 6: Final answer
    x = 263,316.53

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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.