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Finding the Third Proportional to 114,546 and 166,625

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Solution

The third proportional to 114,546 and 166,625 is: 242,382.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,546 : 166,625 = 166,625 : x
  2. Step 2: Convert to fraction form
    114,546/166,625 = 166,625/x
  3. Step 3: Cross multiply
    114,546x = 166,625 × 166,625
  4. Step 4: Simplify right side
    114,546x = 27,763,890,625
  5. Step 5: Solve for x
    x = 27,763,890,625/114,546
  6. Step 6: Final answer
    x = 242,382.02

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.