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Finding the Third Proportional to 107,717 and 237,142

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Solution

The third proportional to 107,717 and 237,142 is: 522,074.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,717 : 237,142 = 237,142 : x
  2. Step 2: Convert to fraction form
    107,717/237,142 = 237,142/x
  3. Step 3: Cross multiply
    107,717x = 237,142 × 237,142
  4. Step 4: Simplify right side
    107,717x = 56,236,328,164
  5. Step 5: Solve for x
    x = 56,236,328,164/107,717
  6. Step 6: Final answer
    x = 522,074.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.