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Finding the Third Proportional to 36,969 and 81,090

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Solution

The third proportional to 36,969 and 81,090 is: 177,867.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,969 : 81,090 = 81,090 : x
  2. Step 2: Convert to fraction form
    36,969/81,090 = 81,090/x
  3. Step 3: Cross multiply
    36,969x = 81,090 × 81,090
  4. Step 4: Simplify right side
    36,969x = 6,575,588,100
  5. Step 5: Solve for x
    x = 6,575,588,100/36,969
  6. Step 6: Final answer
    x = 177,867.62

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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.