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Finding the Third Proportional to 70,892 and 154,166

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Solution

The third proportional to 70,892 and 154,166 is: 335,258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,892 : 154,166 = 154,166 : x
  2. Step 2: Convert to fraction form
    70,892/154,166 = 154,166/x
  3. Step 3: Cross multiply
    70,892x = 154,166 × 154,166
  4. Step 4: Simplify right side
    70,892x = 23,767,155,556
  5. Step 5: Solve for x
    x = 23,767,155,556/70,892
  6. Step 6: Final answer
    x = 335,258.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.