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Finding the Third Proportional to 114,317 and 173,755

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Solution

The third proportional to 114,317 and 173,755 is: 264,097.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,317 : 173,755 = 173,755 : x
  2. Step 2: Convert to fraction form
    114,317/173,755 = 173,755/x
  3. Step 3: Cross multiply
    114,317x = 173,755 × 173,755
  4. Step 4: Simplify right side
    114,317x = 30,190,800,025
  5. Step 5: Solve for x
    x = 30,190,800,025/114,317
  6. Step 6: Final answer
    x = 264,097.20

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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.