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Finding the Third Proportional to 104,172 and 158,505

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Solution

The third proportional to 104,172 and 158,505 is: 241,176.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,172 : 158,505 = 158,505 : x
  2. Step 2: Convert to fraction form
    104,172/158,505 = 158,505/x
  3. Step 3: Cross multiply
    104,172x = 158,505 × 158,505
  4. Step 4: Simplify right side
    104,172x = 25,123,835,025
  5. Step 5: Solve for x
    x = 25,123,835,025/104,172
  6. Step 6: Final answer
    x = 241,176.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.