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Finding the Third Proportional to 100,041 and 152,601

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Solution

The third proportional to 100,041 and 152,601 is: 232,775.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,041 : 152,601 = 152,601 : x
  2. Step 2: Convert to fraction form
    100,041/152,601 = 152,601/x
  3. Step 3: Cross multiply
    100,041x = 152,601 × 152,601
  4. Step 4: Simplify right side
    100,041x = 23,287,065,201
  5. Step 5: Solve for x
    x = 23,287,065,201/100,041
  6. Step 6: Final answer
    x = 232,775.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.