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Finding the Third Proportional to 74,715.75 and 111,012.75

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Solution

The third proportional to 74,715.75 and 111,012.75 is: 164,942.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,715.75 : 111,012.75 = 111,012.75 : x
  2. Step 2: Convert to fraction form
    74,715.75/111,012.75 = 111,012.75/x
  3. Step 3: Cross multiply
    74,715.75x = 111,012.75 × 111,012.75
  4. Step 4: Simplify right side
    74,715.75x = 12,323,830,662.56
  5. Step 5: Solve for x
    x = 12,323,830,662.56/74,715.75
  6. Step 6: Final answer
    x = 164,942.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.