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Finding the Third Proportional to 37,243 and 76,127

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Solution

The third proportional to 37,243 and 76,127 is: 155,608.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,243 : 76,127 = 76,127 : x
  2. Step 2: Convert to fraction form
    37,243/76,127 = 76,127/x
  3. Step 3: Cross multiply
    37,243x = 76,127 × 76,127
  4. Step 4: Simplify right side
    37,243x = 5,795,320,129
  5. Step 5: Solve for x
    x = 5,795,320,129/37,243
  6. Step 6: Final answer
    x = 155,608.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.