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Finding the Third Proportional to 107,721 and 237,150

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Solution

The third proportional to 107,721 and 237,150 is: 522,090.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,721 : 237,150 = 237,150 : x
  2. Step 2: Convert to fraction form
    107,721/237,150 = 237,150/x
  3. Step 3: Cross multiply
    107,721x = 237,150 × 237,150
  4. Step 4: Simplify right side
    107,721x = 56,240,122,500
  5. Step 5: Solve for x
    x = 56,240,122,500/107,721
  6. Step 6: Final answer
    x = 522,090.61

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