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Finding the Third Proportional to 138,661 and 198,145

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Solution

The third proportional to 138,661 and 198,145 is: 283,146.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,661 : 198,145 = 198,145 : x
  2. Step 2: Convert to fraction form
    138,661/198,145 = 198,145/x
  3. Step 3: Cross multiply
    138,661x = 198,145 × 198,145
  4. Step 4: Simplify right side
    138,661x = 39,261,441,025
  5. Step 5: Solve for x
    x = 39,261,441,025/138,661
  6. Step 6: Final answer
    x = 283,146.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.