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Finding the Third Proportional to 37,072 and 81,522

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Solution

The third proportional to 37,072 and 81,522 is: 179,268.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,072 : 81,522 = 81,522 : x
  2. Step 2: Convert to fraction form
    37,072/81,522 = 81,522/x
  3. Step 3: Cross multiply
    37,072x = 81,522 × 81,522
  4. Step 4: Simplify right side
    37,072x = 6,645,836,484
  5. Step 5: Solve for x
    x = 6,645,836,484/37,072
  6. Step 6: Final answer
    x = 179,268.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.