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Finding the Third Proportional to 56,704 and 120,577

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Solution

The third proportional to 56,704 and 120,577 is: 256,398.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,704 : 120,577 = 120,577 : x
  2. Step 2: Convert to fraction form
    56,704/120,577 = 120,577/x
  3. Step 3: Cross multiply
    56,704x = 120,577 × 120,577
  4. Step 4: Simplify right side
    56,704x = 14,538,812,929
  5. Step 5: Solve for x
    x = 14,538,812,929/56,704
  6. Step 6: Final answer
    x = 256,398.37

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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.