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Finding the Third Proportional to 138,654 and 198,136

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Solution

The third proportional to 138,654 and 198,136 is: 283,135.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,654 : 198,136 = 198,136 : x
  2. Step 2: Convert to fraction form
    138,654/198,136 = 198,136/x
  3. Step 3: Cross multiply
    138,654x = 198,136 × 198,136
  4. Step 4: Simplify right side
    138,654x = 39,257,874,496
  5. Step 5: Solve for x
    x = 39,257,874,496/138,654
  6. Step 6: Final answer
    x = 283,135.54

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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.