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Finding the Third Proportional to 100,166 and 155,991

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Solution

The third proportional to 100,166 and 155,991 is: 242,928.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,166 : 155,991 = 155,991 : x
  2. Step 2: Convert to fraction form
    100,166/155,991 = 155,991/x
  3. Step 3: Cross multiply
    100,166x = 155,991 × 155,991
  4. Step 4: Simplify right side
    100,166x = 24,333,192,081
  5. Step 5: Solve for x
    x = 24,333,192,081/100,166
  6. Step 6: Final answer
    x = 242,928.66

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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.