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Finding the Third Proportional to 51,514.50 and 108,564

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Solution

The third proportional to 51,514.50 and 108,564 is: 228,792.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,514.50 : 108,564 = 108,564 : x
  2. Step 2: Convert to fraction form
    51,514.50/108,564 = 108,564/x
  3. Step 3: Cross multiply
    51,514.50x = 108,564 × 108,564
  4. Step 4: Simplify right side
    51,514.50x = 11,786,142,096
  5. Step 5: Solve for x
    x = 11,786,142,096/51,514.50
  6. Step 6: Final answer
    x = 228,792.71

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