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Finding the Third Proportional to 66,958 and 98,041

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Solution

The third proportional to 66,958 and 98,041 is: 143,553.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,958 : 98,041 = 98,041 : x
  2. Step 2: Convert to fraction form
    66,958/98,041 = 98,041/x
  3. Step 3: Cross multiply
    66,958x = 98,041 × 98,041
  4. Step 4: Simplify right side
    66,958x = 9,612,037,681
  5. Step 5: Solve for x
    x = 9,612,037,681/66,958
  6. Step 6: Final answer
    x = 143,553.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.