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Finding the Third Proportional to 74,935 and 158,233

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Solution

The third proportional to 74,935 and 158,233 is: 334,125.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,935 : 158,233 = 158,233 : x
  2. Step 2: Convert to fraction form
    74,935/158,233 = 158,233/x
  3. Step 3: Cross multiply
    74,935x = 158,233 × 158,233
  4. Step 4: Simplify right side
    74,935x = 25,037,682,289
  5. Step 5: Solve for x
    x = 25,037,682,289/74,935
  6. Step 6: Final answer
    x = 334,125.34

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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.