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Finding the Third Proportional to 43,946 and 68,104

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Solution

The third proportional to 43,946 and 68,104 is: 105,542.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,946 : 68,104 = 68,104 : x
  2. Step 2: Convert to fraction form
    43,946/68,104 = 68,104/x
  3. Step 3: Cross multiply
    43,946x = 68,104 × 68,104
  4. Step 4: Simplify right side
    43,946x = 4,638,154,816
  5. Step 5: Solve for x
    x = 4,638,154,816/43,946
  6. Step 6: Final answer
    x = 105,542.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.