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Finding the Third Proportional to 108,261 and 237,743

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Solution

The third proportional to 108,261 and 237,743 is: 522,087.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,261 : 237,743 = 237,743 : x
  2. Step 2: Convert to fraction form
    108,261/237,743 = 237,743/x
  3. Step 3: Cross multiply
    108,261x = 237,743 × 237,743
  4. Step 4: Simplify right side
    108,261x = 56,521,734,049
  5. Step 5: Solve for x
    x = 56,521,734,049/108,261
  6. Step 6: Final answer
    x = 522,087.68

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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.