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Finding the Third Proportional to 106,193 and 228,127

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Solution

The third proportional to 106,193 and 228,127 is: 490,069.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,193 : 228,127 = 228,127 : x
  2. Step 2: Convert to fraction form
    106,193/228,127 = 228,127/x
  3. Step 3: Cross multiply
    106,193x = 228,127 × 228,127
  4. Step 4: Simplify right side
    106,193x = 52,041,928,129
  5. Step 5: Solve for x
    x = 52,041,928,129/106,193
  6. Step 6: Final answer
    x = 490,069.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.