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Finding the Third Proportional to 51,562 and 108,652

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Solution

The third proportional to 51,562 and 108,652 is: 228,952.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,562 : 108,652 = 108,652 : x
  2. Step 2: Convert to fraction form
    51,562/108,652 = 108,652/x
  3. Step 3: Cross multiply
    51,562x = 108,652 × 108,652
  4. Step 4: Simplify right side
    51,562x = 11,805,257,104
  5. Step 5: Solve for x
    x = 11,805,257,104/51,562
  6. Step 6: Final answer
    x = 228,952.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.