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Finding the Third Proportional to 51,064 and 104,719

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Solution

The third proportional to 51,064 and 104,719 is: 214,751.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,064 : 104,719 = 104,719 : x
  2. Step 2: Convert to fraction form
    51,064/104,719 = 104,719/x
  3. Step 3: Cross multiply
    51,064x = 104,719 × 104,719
  4. Step 4: Simplify right side
    51,064x = 10,966,068,961
  5. Step 5: Solve for x
    x = 10,966,068,961/51,064
  6. Step 6: Final answer
    x = 214,751.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.