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Finding the Third Proportional to 50,564 and 108,760

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Solution

The third proportional to 50,564 and 108,760 is: 233,935.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,564 : 108,760 = 108,760 : x
  2. Step 2: Convert to fraction form
    50,564/108,760 = 108,760/x
  3. Step 3: Cross multiply
    50,564x = 108,760 × 108,760
  4. Step 4: Simplify right side
    50,564x = 11,828,737,600
  5. Step 5: Solve for x
    x = 11,828,737,600/50,564
  6. Step 6: Final answer
    x = 233,935.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.