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Finding the Third Proportional to 113,213 and 169,847

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Solution

The third proportional to 113,213 and 169,847 is: 254,811.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,213 : 169,847 = 169,847 : x
  2. Step 2: Convert to fraction form
    113,213/169,847 = 169,847/x
  3. Step 3: Cross multiply
    113,213x = 169,847 × 169,847
  4. Step 4: Simplify right side
    113,213x = 28,848,003,409
  5. Step 5: Solve for x
    x = 28,848,003,409/113,213
  6. Step 6: Final answer
    x = 254,811.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.