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Finding the Third Proportional to 49,672 and 106,447

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Solution

The third proportional to 49,672 and 106,447 is: 228,115.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,672 : 106,447 = 106,447 : x
  2. Step 2: Convert to fraction form
    49,672/106,447 = 106,447/x
  3. Step 3: Cross multiply
    49,672x = 106,447 × 106,447
  4. Step 4: Simplify right side
    49,672x = 11,330,963,809
  5. Step 5: Solve for x
    x = 11,330,963,809/49,672
  6. Step 6: Final answer
    x = 228,115.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.