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Finding the Third Proportional to 37,201 and 81,773

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Solution

The third proportional to 37,201 and 81,773 is: 179,748.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,201 : 81,773 = 81,773 : x
  2. Step 2: Convert to fraction form
    37,201/81,773 = 81,773/x
  3. Step 3: Cross multiply
    37,201x = 81,773 × 81,773
  4. Step 4: Simplify right side
    37,201x = 6,686,823,529
  5. Step 5: Solve for x
    x = 6,686,823,529/37,201
  6. Step 6: Final answer
    x = 179,748.49

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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.