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Finding the Third Proportional to 49,196.25 and 71,858.25

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Solution

The third proportional to 49,196.25 and 71,858.25 is: 104,959.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,196.25 : 71,858.25 = 71,858.25 : x
  2. Step 2: Convert to fraction form
    49,196.25/71,858.25 = 71,858.25/x
  3. Step 3: Cross multiply
    49,196.25x = 71,858.25 × 71,858.25
  4. Step 4: Simplify right side
    49,196.25x = 5,163,608,093.06
  5. Step 5: Solve for x
    x = 5,163,608,093.06/49,196.25
  6. Step 6: Final answer
    x = 104,959.38

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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.