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Finding the Third Proportional to 66,196 and 144,041

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Solution

The third proportional to 66,196 and 144,041 is: 313,429.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,196 : 144,041 = 144,041 : x
  2. Step 2: Convert to fraction form
    66,196/144,041 = 144,041/x
  3. Step 3: Cross multiply
    66,196x = 144,041 × 144,041
  4. Step 4: Simplify right side
    66,196x = 20,747,809,681
  5. Step 5: Solve for x
    x = 20,747,809,681/66,196
  6. Step 6: Final answer
    x = 313,429.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.