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Finding the Third Proportional to 50,284 and 104,046

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Solution

The third proportional to 50,284 and 104,046 is: 215,288.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,284 : 104,046 = 104,046 : x
  2. Step 2: Convert to fraction form
    50,284/104,046 = 104,046/x
  3. Step 3: Cross multiply
    50,284x = 104,046 × 104,046
  4. Step 4: Simplify right side
    50,284x = 10,825,570,116
  5. Step 5: Solve for x
    x = 10,825,570,116/50,284
  6. Step 6: Final answer
    x = 215,288.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.