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Finding the Third Proportional to 37,027 and 81,263

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Solution

The third proportional to 37,027 and 81,263 is: 178,347.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,027 : 81,263 = 81,263 : x
  2. Step 2: Convert to fraction form
    37,027/81,263 = 81,263/x
  3. Step 3: Cross multiply
    37,027x = 81,263 × 81,263
  4. Step 4: Simplify right side
    37,027x = 6,603,675,169
  5. Step 5: Solve for x
    x = 6,603,675,169/37,027
  6. Step 6: Final answer
    x = 178,347.56

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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.