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Finding the Third Proportional to 100,824 and 154,761

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Solution

The third proportional to 100,824 and 154,761 is: 237,552.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,824 : 154,761 = 154,761 : x
  2. Step 2: Convert to fraction form
    100,824/154,761 = 154,761/x
  3. Step 3: Cross multiply
    100,824x = 154,761 × 154,761
  4. Step 4: Simplify right side
    100,824x = 23,950,967,121
  5. Step 5: Solve for x
    x = 23,950,967,121/100,824
  6. Step 6: Final answer
    x = 237,552.24

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