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Finding the Third Proportional to 116,896.50 and 171,450

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Solution

The third proportional to 116,896.50 and 171,450 is: 251,462.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,896.50 : 171,450 = 171,450 : x
  2. Step 2: Convert to fraction form
    116,896.50/171,450 = 171,450/x
  3. Step 3: Cross multiply
    116,896.50x = 171,450 × 171,450
  4. Step 4: Simplify right side
    116,896.50x = 29,395,102,500
  5. Step 5: Solve for x
    x = 29,395,102,500/116,896.50
  6. Step 6: Final answer
    x = 251,462.64

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.