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Finding the Third Proportional to 71,239.50 and 150,525

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Solution

The third proportional to 71,239.50 and 150,525 is: 318,050.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,239.50 : 150,525 = 150,525 : x
  2. Step 2: Convert to fraction form
    71,239.50/150,525 = 150,525/x
  3. Step 3: Cross multiply
    71,239.50x = 150,525 × 150,525
  4. Step 4: Simplify right side
    71,239.50x = 22,657,775,625
  5. Step 5: Solve for x
    x = 22,657,775,625/71,239.50
  6. Step 6: Final answer
    x = 318,050.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.