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Finding the Third Proportional to 113,868 and 171,169

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Solution

The third proportional to 113,868 and 171,169 is: 257,305.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,868 : 171,169 = 171,169 : x
  2. Step 2: Convert to fraction form
    113,868/171,169 = 171,169/x
  3. Step 3: Cross multiply
    113,868x = 171,169 × 171,169
  4. Step 4: Simplify right side
    113,868x = 29,298,826,561
  5. Step 5: Solve for x
    x = 29,298,826,561/113,868
  6. Step 6: Final answer
    x = 257,305.18

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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.