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Finding the Third Proportional to 66,434 and 99,843

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Solution

The third proportional to 66,434 and 99,843 is: 150,053.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,434 : 99,843 = 99,843 : x
  2. Step 2: Convert to fraction form
    66,434/99,843 = 99,843/x
  3. Step 3: Cross multiply
    66,434x = 99,843 × 99,843
  4. Step 4: Simplify right side
    66,434x = 9,968,624,649
  5. Step 5: Solve for x
    x = 9,968,624,649/66,434
  6. Step 6: Final answer
    x = 150,053.05

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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.