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Finding the Third Proportional to 93,774 and 133,995

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Solution

The third proportional to 93,774 and 133,995 is: 191,467.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,774 : 133,995 = 133,995 : x
  2. Step 2: Convert to fraction form
    93,774/133,995 = 133,995/x
  3. Step 3: Cross multiply
    93,774x = 133,995 × 133,995
  4. Step 4: Simplify right side
    93,774x = 17,954,660,025
  5. Step 5: Solve for x
    x = 17,954,660,025/93,774
  6. Step 6: Final answer
    x = 191,467.36

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.