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Finding the Third Proportional to 55,722 and 119,724

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Solution

The third proportional to 55,722 and 119,724 is: 257,238.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,722 : 119,724 = 119,724 : x
  2. Step 2: Convert to fraction form
    55,722/119,724 = 119,724/x
  3. Step 3: Cross multiply
    55,722x = 119,724 × 119,724
  4. Step 4: Simplify right side
    55,722x = 14,333,836,176
  5. Step 5: Solve for x
    x = 14,333,836,176/55,722
  6. Step 6: Final answer
    x = 257,238.37

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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.