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Finding the Third Proportional to 139,071.94 and 188,917.31

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Solution

The third proportional to 139,071.94 and 188,917.31 is: 256,627.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,071.94 : 188,917.31 = 188,917.31 : x
  2. Step 2: Convert to fraction form
    139,071.94/188,917.31 = 188,917.31/x
  3. Step 3: Cross multiply
    139,071.94x = 188,917.31 × 188,917.31
  4. Step 4: Simplify right side
    139,071.94x = 35,689,750,962.22
  5. Step 5: Solve for x
    x = 35,689,750,962.22/139,071.94
  6. Step 6: Final answer
    x = 256,627.98

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.