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Finding the Third Proportional to 57,106 and 122,717

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Solution

The third proportional to 57,106 and 122,717 is: 263,710.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,106 : 122,717 = 122,717 : x
  2. Step 2: Convert to fraction form
    57,106/122,717 = 122,717/x
  3. Step 3: Cross multiply
    57,106x = 122,717 × 122,717
  4. Step 4: Simplify right side
    57,106x = 15,059,462,089
  5. Step 5: Solve for x
    x = 15,059,462,089/57,106
  6. Step 6: Final answer
    x = 263,710.68

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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.