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Finding the Third Proportional to 67,576.50 and 106,000.50

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Solution

The third proportional to 67,576.50 and 106,000.50 is: 166,272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,576.50 : 106,000.50 = 106,000.50 : x
  2. Step 2: Convert to fraction form
    67,576.50/106,000.50 = 106,000.50/x
  3. Step 3: Cross multiply
    67,576.50x = 106,000.50 × 106,000.50
  4. Step 4: Simplify right side
    67,576.50x = 11,236,106,000.25
  5. Step 5: Solve for x
    x = 11,236,106,000.25/67,576.50
  6. Step 6: Final answer
    x = 166,272.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.