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Finding the Third Proportional to 113,676 and 169,811

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Solution

The third proportional to 113,676 and 169,811 is: 253,666.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,676 : 169,811 = 169,811 : x
  2. Step 2: Convert to fraction form
    113,676/169,811 = 169,811/x
  3. Step 3: Cross multiply
    113,676x = 169,811 × 169,811
  4. Step 4: Simplify right side
    113,676x = 28,835,775,721
  5. Step 5: Solve for x
    x = 28,835,775,721/113,676
  6. Step 6: Final answer
    x = 253,666.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.