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Finding the Third Proportional to 66,995 and 104,182

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Solution

The third proportional to 66,995 and 104,182 is: 162,010.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,995 : 104,182 = 104,182 : x
  2. Step 2: Convert to fraction form
    66,995/104,182 = 104,182/x
  3. Step 3: Cross multiply
    66,995x = 104,182 × 104,182
  4. Step 4: Simplify right side
    66,995x = 10,853,889,124
  5. Step 5: Solve for x
    x = 10,853,889,124/66,995
  6. Step 6: Final answer
    x = 162,010.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.