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Finding the Third Proportional to 37,114 and 81,044

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Solution

The third proportional to 37,114 and 81,044 is: 176,971.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,114 : 81,044 = 81,044 : x
  2. Step 2: Convert to fraction form
    37,114/81,044 = 81,044/x
  3. Step 3: Cross multiply
    37,114x = 81,044 × 81,044
  4. Step 4: Simplify right side
    37,114x = 6,568,129,936
  5. Step 5: Solve for x
    x = 6,568,129,936/37,114
  6. Step 6: Final answer
    x = 176,971.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.