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Finding the Third Proportional to 49,470 and 106,350

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Solution

The third proportional to 49,470 and 106,350 is: 228,629.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,470 : 106,350 = 106,350 : x
  2. Step 2: Convert to fraction form
    49,470/106,350 = 106,350/x
  3. Step 3: Cross multiply
    49,470x = 106,350 × 106,350
  4. Step 4: Simplify right side
    49,470x = 11,310,322,500
  5. Step 5: Solve for x
    x = 11,310,322,500/49,470
  6. Step 6: Final answer
    x = 228,629.93

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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.