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Finding the Third Proportional to 51,064 and 108,696

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Solution

The third proportional to 51,064 and 108,696 is: 231,372.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,064 : 108,696 = 108,696 : x
  2. Step 2: Convert to fraction form
    51,064/108,696 = 108,696/x
  3. Step 3: Cross multiply
    51,064x = 108,696 × 108,696
  4. Step 4: Simplify right side
    51,064x = 11,814,820,416
  5. Step 5: Solve for x
    x = 11,814,820,416/51,064
  6. Step 6: Final answer
    x = 231,372.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.