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Finding the Third Proportional to 45,228 and 104,790

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Solution

The third proportional to 45,228 and 104,790 is: 242,790.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,228 : 104,790 = 104,790 : x
  2. Step 2: Convert to fraction form
    45,228/104,790 = 104,790/x
  3. Step 3: Cross multiply
    45,228x = 104,790 × 104,790
  4. Step 4: Simplify right side
    45,228x = 10,980,944,100
  5. Step 5: Solve for x
    x = 10,980,944,100/45,228
  6. Step 6: Final answer
    x = 242,790.84

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.