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Finding the Third Proportional to 44,339 and 90,749.50

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Solution

The third proportional to 44,339 and 90,749.50 is: 185,738.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,339 : 90,749.50 = 90,749.50 : x
  2. Step 2: Convert to fraction form
    44,339/90,749.50 = 90,749.50/x
  3. Step 3: Cross multiply
    44,339x = 90,749.50 × 90,749.50
  4. Step 4: Simplify right side
    44,339x = 8,235,471,750.25
  5. Step 5: Solve for x
    x = 8,235,471,750.25/44,339
  6. Step 6: Final answer
    x = 185,738.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.