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Finding the Third Proportional to 75,581 and 164,977

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Solution

The third proportional to 75,581 and 164,977 is: 360,109.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,581 : 164,977 = 164,977 : x
  2. Step 2: Convert to fraction form
    75,581/164,977 = 164,977/x
  3. Step 3: Cross multiply
    75,581x = 164,977 × 164,977
  4. Step 4: Simplify right side
    75,581x = 27,217,410,529
  5. Step 5: Solve for x
    x = 27,217,410,529/75,581
  6. Step 6: Final answer
    x = 360,109.16

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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.