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Finding the Third Proportional to 37,014 and 81,057

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Solution

The third proportional to 37,014 and 81,057 is: 177,506.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,014 : 81,057 = 81,057 : x
  2. Step 2: Convert to fraction form
    37,014/81,057 = 81,057/x
  3. Step 3: Cross multiply
    37,014x = 81,057 × 81,057
  4. Step 4: Simplify right side
    37,014x = 6,570,237,249
  5. Step 5: Solve for x
    x = 6,570,237,249/37,014
  6. Step 6: Final answer
    x = 177,506.81

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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.