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Finding the Third Proportional to 43,902 and 68,104.13

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Solution

The third proportional to 43,902 and 68,104.13 is: 105,648.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,902 : 68,104.13 = 68,104.13 : x
  2. Step 2: Convert to fraction form
    43,902/68,104.13 = 68,104.13/x
  3. Step 3: Cross multiply
    43,902x = 68,104.13 × 68,104.13
  4. Step 4: Simplify right side
    43,902x = 4,638,171,842.02
  5. Step 5: Solve for x
    x = 4,638,171,842.02/43,902
  6. Step 6: Final answer
    x = 105,648.30

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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.