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Finding the Third Proportional to 72,837.50 and 114,450

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Solution

The third proportional to 72,837.50 and 114,450 is: 179,835.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,837.50 : 114,450 = 114,450 : x
  2. Step 2: Convert to fraction form
    72,837.50/114,450 = 114,450/x
  3. Step 3: Cross multiply
    72,837.50x = 114,450 × 114,450
  4. Step 4: Simplify right side
    72,837.50x = 13,098,802,500
  5. Step 5: Solve for x
    x = 13,098,802,500/72,837.50
  6. Step 6: Final answer
    x = 179,835.97

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.