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Finding the Third Proportional to 43,941 and 68,096.25

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Solution

The third proportional to 43,941 and 68,096.25 is: 105,530.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,941 : 68,096.25 = 68,096.25 : x
  2. Step 2: Convert to fraction form
    43,941/68,096.25 = 68,096.25/x
  3. Step 3: Cross multiply
    43,941x = 68,096.25 × 68,096.25
  4. Step 4: Simplify right side
    43,941x = 4,637,099,264.06
  5. Step 5: Solve for x
    x = 4,637,099,264.06/43,941
  6. Step 6: Final answer
    x = 105,530.13

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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.