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Finding the Third Proportional to 36,968 and 81,088

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Solution

The third proportional to 36,968 and 81,088 is: 177,863.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,968 : 81,088 = 81,088 : x
  2. Step 2: Convert to fraction form
    36,968/81,088 = 81,088/x
  3. Step 3: Cross multiply
    36,968x = 81,088 × 81,088
  4. Step 4: Simplify right side
    36,968x = 6,575,263,744
  5. Step 5: Solve for x
    x = 6,575,263,744/36,968
  6. Step 6: Final answer
    x = 177,863.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.