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Finding the Third Proportional to 71,824 and 154,232

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Solution

The third proportional to 71,824 and 154,232 is: 331,191.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,824 : 154,232 = 154,232 : x
  2. Step 2: Convert to fraction form
    71,824/154,232 = 154,232/x
  3. Step 3: Cross multiply
    71,824x = 154,232 × 154,232
  4. Step 4: Simplify right side
    71,824x = 23,787,509,824
  5. Step 5: Solve for x
    x = 23,787,509,824/71,824
  6. Step 6: Final answer
    x = 331,191.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.