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Finding the Third Proportional to 43,314 and 68,913

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Solution

The third proportional to 43,314 and 68,913 is: 109,641.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,314 : 68,913 = 68,913 : x
  2. Step 2: Convert to fraction form
    43,314/68,913 = 68,913/x
  3. Step 3: Cross multiply
    43,314x = 68,913 × 68,913
  4. Step 4: Simplify right side
    43,314x = 4,749,001,569
  5. Step 5: Solve for x
    x = 4,749,001,569/43,314
  6. Step 6: Final answer
    x = 109,641.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.