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Finding the Third Proportional to 64,000.50 and 137,811

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Solution

The third proportional to 64,000.50 and 137,811 is: 296,745.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,000.50 : 137,811 = 137,811 : x
  2. Step 2: Convert to fraction form
    64,000.50/137,811 = 137,811/x
  3. Step 3: Cross multiply
    64,000.50x = 137,811 × 137,811
  4. Step 4: Simplify right side
    64,000.50x = 18,991,871,721
  5. Step 5: Solve for x
    x = 18,991,871,721/64,000.50
  6. Step 6: Final answer
    x = 296,745.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.