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Finding the Third Proportional to 43,814 and 68,641

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Solution

The third proportional to 43,814 and 68,641 is: 107,536.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,814 : 68,641 = 68,641 : x
  2. Step 2: Convert to fraction form
    43,814/68,641 = 68,641/x
  3. Step 3: Cross multiply
    43,814x = 68,641 × 68,641
  4. Step 4: Simplify right side
    43,814x = 4,711,586,881
  5. Step 5: Solve for x
    x = 4,711,586,881/43,814
  6. Step 6: Final answer
    x = 107,536.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.