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Finding the Third Proportional to 51,745.50 and 124,807.50

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Solution

The third proportional to 51,745.50 and 124,807.50 is: 301,029.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,745.50 : 124,807.50 = 124,807.50 : x
  2. Step 2: Convert to fraction form
    51,745.50/124,807.50 = 124,807.50/x
  3. Step 3: Cross multiply
    51,745.50x = 124,807.50 × 124,807.50
  4. Step 4: Simplify right side
    51,745.50x = 15,576,912,056.25
  5. Step 5: Solve for x
    x = 15,576,912,056.25/51,745.50
  6. Step 6: Final answer
    x = 301,029.31

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.