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Finding the Third Proportional to 56,738 and 120,937

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Solution

The third proportional to 56,738 and 120,937 is: 257,777.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,738 : 120,937 = 120,937 : x
  2. Step 2: Convert to fraction form
    56,738/120,937 = 120,937/x
  3. Step 3: Cross multiply
    56,738x = 120,937 × 120,937
  4. Step 4: Simplify right side
    56,738x = 14,625,757,969
  5. Step 5: Solve for x
    x = 14,625,757,969/56,738
  6. Step 6: Final answer
    x = 257,777.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.