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Finding the Third Proportional to 117,716 and 180,111

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Solution

The third proportional to 117,716 and 180,111 is: 275,578.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,716 : 180,111 = 180,111 : x
  2. Step 2: Convert to fraction form
    117,716/180,111 = 180,111/x
  3. Step 3: Cross multiply
    117,716x = 180,111 × 180,111
  4. Step 4: Simplify right side
    117,716x = 32,439,972,321
  5. Step 5: Solve for x
    x = 32,439,972,321/117,716
  6. Step 6: Final answer
    x = 275,578.28

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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.