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Finding the Third Proportional to 37,409 and 81,858

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Solution

The third proportional to 37,409 and 81,858 is: 179,120.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,409 : 81,858 = 81,858 : x
  2. Step 2: Convert to fraction form
    37,409/81,858 = 81,858/x
  3. Step 3: Cross multiply
    37,409x = 81,858 × 81,858
  4. Step 4: Simplify right side
    37,409x = 6,700,732,164
  5. Step 5: Solve for x
    x = 6,700,732,164/37,409
  6. Step 6: Final answer
    x = 179,120.86

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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.