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Finding the Third Proportional to 106,872 and 228,045

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Solution

The third proportional to 106,872 and 228,045 is: 486,605.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,872 : 228,045 = 228,045 : x
  2. Step 2: Convert to fraction form
    106,872/228,045 = 228,045/x
  3. Step 3: Cross multiply
    106,872x = 228,045 × 228,045
  4. Step 4: Simplify right side
    106,872x = 52,004,522,025
  5. Step 5: Solve for x
    x = 52,004,522,025/106,872
  6. Step 6: Final answer
    x = 486,605.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.