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Finding the Third Proportional to 56,057 and 120,964

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Solution

The third proportional to 56,057 and 120,964 is: 261,025.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,057 : 120,964 = 120,964 : x
  2. Step 2: Convert to fraction form
    56,057/120,964 = 120,964/x
  3. Step 3: Cross multiply
    56,057x = 120,964 × 120,964
  4. Step 4: Simplify right side
    56,057x = 14,632,289,296
  5. Step 5: Solve for x
    x = 14,632,289,296/56,057
  6. Step 6: Final answer
    x = 261,025.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.