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Finding the Third Proportional to 128,749.50 and 188,515.50

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Solution

The third proportional to 128,749.50 and 188,515.50 is: 276,025.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,749.50 : 188,515.50 = 188,515.50 : x
  2. Step 2: Convert to fraction form
    128,749.50/188,515.50 = 188,515.50/x
  3. Step 3: Cross multiply
    128,749.50x = 188,515.50 × 188,515.50
  4. Step 4: Simplify right side
    128,749.50x = 35,538,093,740.25
  5. Step 5: Solve for x
    x = 35,538,093,740.25/128,749.50
  6. Step 6: Final answer
    x = 276,025.10

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.