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Finding the Third Proportional to 37,060 and 81,041

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Solution

The third proportional to 37,060 and 81,041 is: 177,216.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,060 : 81,041 = 81,041 : x
  2. Step 2: Convert to fraction form
    37,060/81,041 = 81,041/x
  3. Step 3: Cross multiply
    37,060x = 81,041 × 81,041
  4. Step 4: Simplify right side
    37,060x = 6,567,643,681
  5. Step 5: Solve for x
    x = 6,567,643,681/37,060
  6. Step 6: Final answer
    x = 177,216.51

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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.