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Finding the Third Proportional to 37,700 and 81,958

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Solution

The third proportional to 37,700 and 81,958 is: 178,172.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,700 : 81,958 = 81,958 : x
  2. Step 2: Convert to fraction form
    37,700/81,958 = 81,958/x
  3. Step 3: Cross multiply
    37,700x = 81,958 × 81,958
  4. Step 4: Simplify right side
    37,700x = 6,717,113,764
  5. Step 5: Solve for x
    x = 6,717,113,764/37,700
  6. Step 6: Final answer
    x = 178,172.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.