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Finding the Third Proportional to 113,866 and 170,171

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Solution

The third proportional to 113,866 and 170,171 is: 254,317.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,866 : 170,171 = 170,171 : x
  2. Step 2: Convert to fraction form
    113,866/170,171 = 170,171/x
  3. Step 3: Cross multiply
    113,866x = 170,171 × 170,171
  4. Step 4: Simplify right side
    113,866x = 28,958,169,241
  5. Step 5: Solve for x
    x = 28,958,169,241/113,866
  6. Step 6: Final answer
    x = 254,317.96

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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.