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Finding the Third Proportional to 88,751 and 193,050

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Solution

The third proportional to 88,751 and 193,050 is: 419,919.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,751 : 193,050 = 193,050 : x
  2. Step 2: Convert to fraction form
    88,751/193,050 = 193,050/x
  3. Step 3: Cross multiply
    88,751x = 193,050 × 193,050
  4. Step 4: Simplify right side
    88,751x = 37,268,302,500
  5. Step 5: Solve for x
    x = 37,268,302,500/88,751
  6. Step 6: Final answer
    x = 419,919.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.