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Finding the Third Proportional to 73,993 and 104,700

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Solution

The third proportional to 73,993 and 104,700 is: 148,150.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,993 : 104,700 = 104,700 : x
  2. Step 2: Convert to fraction form
    73,993/104,700 = 104,700/x
  3. Step 3: Cross multiply
    73,993x = 104,700 × 104,700
  4. Step 4: Simplify right side
    73,993x = 10,962,090,000
  5. Step 5: Solve for x
    x = 10,962,090,000/73,993
  6. Step 6: Final answer
    x = 148,150.37

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.