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Finding the Third Proportional to 113,868 and 170,173

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Solution

The third proportional to 113,868 and 170,173 is: 254,319.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,868 : 170,173 = 170,173 : x
  2. Step 2: Convert to fraction form
    113,868/170,173 = 170,173/x
  3. Step 3: Cross multiply
    113,868x = 170,173 × 170,173
  4. Step 4: Simplify right side
    113,868x = 28,958,849,929
  5. Step 5: Solve for x
    x = 28,958,849,929/113,868
  6. Step 6: Final answer
    x = 254,319.47

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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.