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Finding the Third Proportional to 61,977 and 134,256

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Solution

The third proportional to 61,977 and 134,256 is: 290,828.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,977 : 134,256 = 134,256 : x
  2. Step 2: Convert to fraction form
    61,977/134,256 = 134,256/x
  3. Step 3: Cross multiply
    61,977x = 134,256 × 134,256
  4. Step 4: Simplify right side
    61,977x = 18,024,673,536
  5. Step 5: Solve for x
    x = 18,024,673,536/61,977
  6. Step 6: Final answer
    x = 290,828.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.