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Finding the Third Proportional to 51,523 and 108,581

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Solution

The third proportional to 51,523 and 108,581 is: 228,826.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,523 : 108,581 = 108,581 : x
  2. Step 2: Convert to fraction form
    51,523/108,581 = 108,581/x
  3. Step 3: Cross multiply
    51,523x = 108,581 × 108,581
  4. Step 4: Simplify right side
    51,523x = 11,789,833,561
  5. Step 5: Solve for x
    x = 11,789,833,561/51,523
  6. Step 6: Final answer
    x = 228,826.61

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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.