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Finding the Third Proportional to 50,655 and 104,550

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Solution

The third proportional to 50,655 and 104,550 is: 215,787.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,655 : 104,550 = 104,550 : x
  2. Step 2: Convert to fraction form
    50,655/104,550 = 104,550/x
  3. Step 3: Cross multiply
    50,655x = 104,550 × 104,550
  4. Step 4: Simplify right side
    50,655x = 10,930,702,500
  5. Step 5: Solve for x
    x = 10,930,702,500/50,655
  6. Step 6: Final answer
    x = 215,787.24

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.