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Finding the Third Proportional to 69,672.50 and 150,523

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Solution

The third proportional to 69,672.50 and 150,523 is: 325,195.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,672.50 : 150,523 = 150,523 : x
  2. Step 2: Convert to fraction form
    69,672.50/150,523 = 150,523/x
  3. Step 3: Cross multiply
    69,672.50x = 150,523 × 150,523
  4. Step 4: Simplify right side
    69,672.50x = 22,657,173,529
  5. Step 5: Solve for x
    x = 22,657,173,529/69,672.50
  6. Step 6: Final answer
    x = 325,195.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.