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Finding the Third Proportional to 109,166 and 166,664

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Solution

The third proportional to 109,166 and 166,664 is: 254,446.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,166 : 166,664 = 166,664 : x
  2. Step 2: Convert to fraction form
    109,166/166,664 = 166,664/x
  3. Step 3: Cross multiply
    109,166x = 166,664 × 166,664
  4. Step 4: Simplify right side
    109,166x = 27,776,888,896
  5. Step 5: Solve for x
    x = 27,776,888,896/109,166
  6. Step 6: Final answer
    x = 254,446.34

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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.