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Finding the Third Proportional to 109,100 and 166,818

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Solution

The third proportional to 109,100 and 166,818 is: 255,070.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,100 : 166,818 = 166,818 : x
  2. Step 2: Convert to fraction form
    109,100/166,818 = 166,818/x
  3. Step 3: Cross multiply
    109,100x = 166,818 × 166,818
  4. Step 4: Simplify right side
    109,100x = 27,828,245,124
  5. Step 5: Solve for x
    x = 27,828,245,124/109,100
  6. Step 6: Final answer
    x = 255,070.99

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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.