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Finding the Third Proportional to 117,922 and 186,722

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Solution

The third proportional to 117,922 and 186,722 is: 295,662.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,922 : 186,722 = 186,722 : x
  2. Step 2: Convert to fraction form
    117,922/186,722 = 186,722/x
  3. Step 3: Cross multiply
    117,922x = 186,722 × 186,722
  4. Step 4: Simplify right side
    117,922x = 34,865,105,284
  5. Step 5: Solve for x
    x = 34,865,105,284/117,922
  6. Step 6: Final answer
    x = 295,662.43

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.