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Finding the Third Proportional to 44,311 and 68,109

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Solution

The third proportional to 44,311 and 68,109 is: 104,688.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,311 : 68,109 = 68,109 : x
  2. Step 2: Convert to fraction form
    44,311/68,109 = 68,109/x
  3. Step 3: Cross multiply
    44,311x = 68,109 × 68,109
  4. Step 4: Simplify right side
    44,311x = 4,638,835,881
  5. Step 5: Solve for x
    x = 4,638,835,881/44,311
  6. Step 6: Final answer
    x = 104,688.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.