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Finding the Third Proportional to 49,322 and 110,356

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Solution

The third proportional to 49,322 and 110,356 is: 246,917.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,322 : 110,356 = 110,356 : x
  2. Step 2: Convert to fraction form
    49,322/110,356 = 110,356/x
  3. Step 3: Cross multiply
    49,322x = 110,356 × 110,356
  4. Step 4: Simplify right side
    49,322x = 12,178,446,736
  5. Step 5: Solve for x
    x = 12,178,446,736/49,322
  6. Step 6: Final answer
    x = 246,917.13

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.