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Finding the Third Proportional to 114,115 and 171,194

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Solution

The third proportional to 114,115 and 171,194 is: 256,823.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,115 : 171,194 = 171,194 : x
  2. Step 2: Convert to fraction form
    114,115/171,194 = 171,194/x
  3. Step 3: Cross multiply
    114,115x = 171,194 × 171,194
  4. Step 4: Simplify right side
    114,115x = 29,307,385,636
  5. Step 5: Solve for x
    x = 29,307,385,636/114,115
  6. Step 6: Final answer
    x = 256,823.25

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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.