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Finding the Third Proportional to 73,873.50 and 111,690

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Solution

The third proportional to 73,873.50 and 111,690 is: 168,865.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,873.50 : 111,690 = 111,690 : x
  2. Step 2: Convert to fraction form
    73,873.50/111,690 = 111,690/x
  3. Step 3: Cross multiply
    73,873.50x = 111,690 × 111,690
  4. Step 4: Simplify right side
    73,873.50x = 12,474,656,100
  5. Step 5: Solve for x
    x = 12,474,656,100/73,873.50
  6. Step 6: Final answer
    x = 168,865.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.