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Finding the Third Proportional to 106,073 and 228,751

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Solution

The third proportional to 106,073 and 228,751 is: 493,311.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,073 : 228,751 = 228,751 : x
  2. Step 2: Convert to fraction form
    106,073/228,751 = 228,751/x
  3. Step 3: Cross multiply
    106,073x = 228,751 × 228,751
  4. Step 4: Simplify right side
    106,073x = 52,327,020,001
  5. Step 5: Solve for x
    x = 52,327,020,001/106,073
  6. Step 6: Final answer
    x = 493,311.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.