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Finding the Third Proportional to 112,194.75 and 243,081.75

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Solution

The third proportional to 112,194.75 and 243,081.75 is: 526,662.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,194.75 : 243,081.75 = 243,081.75 : x
  2. Step 2: Convert to fraction form
    112,194.75/243,081.75 = 243,081.75/x
  3. Step 3: Cross multiply
    112,194.75x = 243,081.75 × 243,081.75
  4. Step 4: Simplify right side
    112,194.75x = 59,088,737,183.06
  5. Step 5: Solve for x
    x = 59,088,737,183.06/112,194.75
  6. Step 6: Final answer
    x = 526,662.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.