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Finding the Third Proportional to 114,977 and 171,757

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Solution

The third proportional to 114,977 and 171,757 is: 256,577.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,977 : 171,757 = 171,757 : x
  2. Step 2: Convert to fraction form
    114,977/171,757 = 171,757/x
  3. Step 3: Cross multiply
    114,977x = 171,757 × 171,757
  4. Step 4: Simplify right side
    114,977x = 29,500,467,049
  5. Step 5: Solve for x
    x = 29,500,467,049/114,977
  6. Step 6: Final answer
    x = 256,577.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.