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Finding the Third Proportional to 71,511.75 and 157,025.25

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Solution

The third proportional to 71,511.75 and 157,025.25 is: 344,795.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,511.75 : 157,025.25 = 157,025.25 : x
  2. Step 2: Convert to fraction form
    71,511.75/157,025.25 = 157,025.25/x
  3. Step 3: Cross multiply
    71,511.75x = 157,025.25 × 157,025.25
  4. Step 4: Simplify right side
    71,511.75x = 24,656,929,137.56
  5. Step 5: Solve for x
    x = 24,656,929,137.56/71,511.75
  6. Step 6: Final answer
    x = 344,795.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.