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Finding the Third Proportional to 110,745.50 and 166,083.50

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Solution

The third proportional to 110,745.50 and 166,083.50 is: 249,073.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,745.50 : 166,083.50 = 166,083.50 : x
  2. Step 2: Convert to fraction form
    110,745.50/166,083.50 = 166,083.50/x
  3. Step 3: Cross multiply
    110,745.50x = 166,083.50 × 166,083.50
  4. Step 4: Simplify right side
    110,745.50x = 27,583,728,972.25
  5. Step 5: Solve for x
    x = 27,583,728,972.25/110,745.50
  6. Step 6: Final answer
    x = 249,073.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.