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Finding the Third Proportional to 44,236 and 66,191

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Solution

The third proportional to 44,236 and 66,191 is: 99,042.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,236 : 66,191 = 66,191 : x
  2. Step 2: Convert to fraction form
    44,236/66,191 = 66,191/x
  3. Step 3: Cross multiply
    44,236x = 66,191 × 66,191
  4. Step 4: Simplify right side
    44,236x = 4,381,248,481
  5. Step 5: Solve for x
    x = 4,381,248,481/44,236
  6. Step 6: Final answer
    x = 99,042.60

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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.