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Finding the Third Proportional to 74,900 and 158,251

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Solution

The third proportional to 74,900 and 158,251 is: 334,357.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,900 : 158,251 = 158,251 : x
  2. Step 2: Convert to fraction form
    74,900/158,251 = 158,251/x
  3. Step 3: Cross multiply
    74,900x = 158,251 × 158,251
  4. Step 4: Simplify right side
    74,900x = 25,043,379,001
  5. Step 5: Solve for x
    x = 25,043,379,001/74,900
  6. Step 6: Final answer
    x = 334,357.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.