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Finding the Third Proportional to 73,745.44 and 111,977.44

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Solution

The third proportional to 73,745.44 and 111,977.44 is: 170,030.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,745.44 : 111,977.44 = 111,977.44 : x
  2. Step 2: Convert to fraction form
    73,745.44/111,977.44 = 111,977.44/x
  3. Step 3: Cross multiply
    73,745.44x = 111,977.44 × 111,977.44
  4. Step 4: Simplify right side
    73,745.44x = 12,538,946,509.07
  5. Step 5: Solve for x
    x = 12,538,946,509.07/73,745.44
  6. Step 6: Final answer
    x = 170,030.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.