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Finding the Third Proportional to 79,525 and 171,505

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Solution

The third proportional to 79,525 and 171,505 is: 369,870.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,525 : 171,505 = 171,505 : x
  2. Step 2: Convert to fraction form
    79,525/171,505 = 171,505/x
  3. Step 3: Cross multiply
    79,525x = 171,505 × 171,505
  4. Step 4: Simplify right side
    79,525x = 29,413,965,025
  5. Step 5: Solve for x
    x = 29,413,965,025/79,525
  6. Step 6: Final answer
    x = 369,870.67

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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.