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Finding the Third Proportional to 56,977 and 122,706

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Solution

The third proportional to 56,977 and 122,706 is: 264,260.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,977 : 122,706 = 122,706 : x
  2. Step 2: Convert to fraction form
    56,977/122,706 = 122,706/x
  3. Step 3: Cross multiply
    56,977x = 122,706 × 122,706
  4. Step 4: Simplify right side
    56,977x = 15,056,762,436
  5. Step 5: Solve for x
    x = 15,056,762,436/56,977
  6. Step 6: Final answer
    x = 264,260.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.