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Finding the Third Proportional to 37,305 and 81,697

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Solution

The third proportional to 37,305 and 81,697 is: 178,914.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,305 : 81,697 = 81,697 : x
  2. Step 2: Convert to fraction form
    37,305/81,697 = 81,697/x
  3. Step 3: Cross multiply
    37,305x = 81,697 × 81,697
  4. Step 4: Simplify right side
    37,305x = 6,674,399,809
  5. Step 5: Solve for x
    x = 6,674,399,809/37,305
  6. Step 6: Final answer
    x = 178,914.35

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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.