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Finding the Third Proportional to 100,134 and 155,944

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Solution

The third proportional to 100,134 and 155,944 is: 242,859.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,134 : 155,944 = 155,944 : x
  2. Step 2: Convert to fraction form
    100,134/155,944 = 155,944/x
  3. Step 3: Cross multiply
    100,134x = 155,944 × 155,944
  4. Step 4: Simplify right side
    100,134x = 24,318,531,136
  5. Step 5: Solve for x
    x = 24,318,531,136/100,134
  6. Step 6: Final answer
    x = 242,859.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.