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Finding the Third Proportional to 53,802 and 109,790

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Solution

The third proportional to 53,802 and 109,790 is: 224,040.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,802 : 109,790 = 109,790 : x
  2. Step 2: Convert to fraction form
    53,802/109,790 = 109,790/x
  3. Step 3: Cross multiply
    53,802x = 109,790 × 109,790
  4. Step 4: Simplify right side
    53,802x = 12,053,844,100
  5. Step 5: Solve for x
    x = 12,053,844,100/53,802
  6. Step 6: Final answer
    x = 224,040.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.