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Finding the Third Proportional to 42,136.50 and 89,467.50

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Solution

The third proportional to 42,136.50 and 89,467.50 is: 189,964.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,136.50 : 89,467.50 = 89,467.50 : x
  2. Step 2: Convert to fraction form
    42,136.50/89,467.50 = 89,467.50/x
  3. Step 3: Cross multiply
    42,136.50x = 89,467.50 × 89,467.50
  4. Step 4: Simplify right side
    42,136.50x = 8,004,433,556.25
  5. Step 5: Solve for x
    x = 8,004,433,556.25/42,136.50
  6. Step 6: Final answer
    x = 189,964.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.