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Finding the Third Proportional to 73,627.50 and 111,055

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Solution

The third proportional to 73,627.50 and 111,055 is: 167,508.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,627.50 : 111,055 = 111,055 : x
  2. Step 2: Convert to fraction form
    73,627.50/111,055 = 111,055/x
  3. Step 3: Cross multiply
    73,627.50x = 111,055 × 111,055
  4. Step 4: Simplify right side
    73,627.50x = 12,333,213,025
  5. Step 5: Solve for x
    x = 12,333,213,025/73,627.50
  6. Step 6: Final answer
    x = 167,508.24

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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.