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Finding the Third Proportional to 115,679 and 174,977

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Solution

The third proportional to 115,679 and 174,977 is: 264,671.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,679 : 174,977 = 174,977 : x
  2. Step 2: Convert to fraction form
    115,679/174,977 = 174,977/x
  3. Step 3: Cross multiply
    115,679x = 174,977 × 174,977
  4. Step 4: Simplify right side
    115,679x = 30,616,950,529
  5. Step 5: Solve for x
    x = 30,616,950,529/115,679
  6. Step 6: Final answer
    x = 264,671.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.