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Finding the Third Proportional to 117,898 and 166,664

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Solution

The third proportional to 117,898 and 166,664 is: 235,601.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,898 : 166,664 = 166,664 : x
  2. Step 2: Convert to fraction form
    117,898/166,664 = 166,664/x
  3. Step 3: Cross multiply
    117,898x = 166,664 × 166,664
  4. Step 4: Simplify right side
    117,898x = 27,776,888,896
  5. Step 5: Solve for x
    x = 27,776,888,896/117,898
  6. Step 6: Final answer
    x = 235,601.02

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.