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Finding the Third Proportional to 66,405 and 99,858

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Solution

The third proportional to 66,405 and 99,858 is: 150,163.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,405 : 99,858 = 99,858 : x
  2. Step 2: Convert to fraction form
    66,405/99,858 = 99,858/x
  3. Step 3: Cross multiply
    66,405x = 99,858 × 99,858
  4. Step 4: Simplify right side
    66,405x = 9,971,620,164
  5. Step 5: Solve for x
    x = 9,971,620,164/66,405
  6. Step 6: Final answer
    x = 150,163.69

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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.