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Finding the Third Proportional to 56,744 and 122,032

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Solution

The third proportional to 56,744 and 122,032 is: 262,438.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,744 : 122,032 = 122,032 : x
  2. Step 2: Convert to fraction form
    56,744/122,032 = 122,032/x
  3. Step 3: Cross multiply
    56,744x = 122,032 × 122,032
  4. Step 4: Simplify right side
    56,744x = 14,891,809,024
  5. Step 5: Solve for x
    x = 14,891,809,024/56,744
  6. Step 6: Final answer
    x = 262,438.48

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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.