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Finding the Third Proportional to 45,170 and 68,088

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Solution

The third proportional to 45,170 and 68,088 is: 102,633.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,170 : 68,088 = 68,088 : x
  2. Step 2: Convert to fraction form
    45,170/68,088 = 68,088/x
  3. Step 3: Cross multiply
    45,170x = 68,088 × 68,088
  4. Step 4: Simplify right side
    45,170x = 4,635,975,744
  5. Step 5: Solve for x
    x = 4,635,975,744/45,170
  6. Step 6: Final answer
    x = 102,633.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.