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Finding the Third Proportional to 37,231 and 81,013

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Solution

The third proportional to 37,231 and 81,013 is: 176,280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,231 : 81,013 = 81,013 : x
  2. Step 2: Convert to fraction form
    37,231/81,013 = 81,013/x
  3. Step 3: Cross multiply
    37,231x = 81,013 × 81,013
  4. Step 4: Simplify right side
    37,231x = 6,563,106,169
  5. Step 5: Solve for x
    x = 6,563,106,169/37,231
  6. Step 6: Final answer
    x = 176,280.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.