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Finding the Third Proportional to 49,271.63 and 76,094.44

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Solution

The third proportional to 49,271.63 and 76,094.44 is: 117,519.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,271.63 : 76,094.44 = 76,094.44 : x
  2. Step 2: Convert to fraction form
    49,271.63/76,094.44 = 76,094.44/x
  3. Step 3: Cross multiply
    49,271.63x = 76,094.44 × 76,094.44
  4. Step 4: Simplify right side
    49,271.63x = 5,790,363,418.44
  5. Step 5: Solve for x
    x = 5,790,363,418.44/49,271.63
  6. Step 6: Final answer
    x = 117,519.23

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.