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Finding the Third Proportional to 37,841 and 81,114

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Solution

The third proportional to 37,841 and 81,114 is: 173,871.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,841 : 81,114 = 81,114 : x
  2. Step 2: Convert to fraction form
    37,841/81,114 = 81,114/x
  3. Step 3: Cross multiply
    37,841x = 81,114 × 81,114
  4. Step 4: Simplify right side
    37,841x = 6,579,480,996
  5. Step 5: Solve for x
    x = 6,579,480,996/37,841
  6. Step 6: Final answer
    x = 173,871.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.