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Finding the Third Proportional to 66,182 and 144,260

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Solution

The third proportional to 66,182 and 144,260 is: 314,450.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,182 : 144,260 = 144,260 : x
  2. Step 2: Convert to fraction form
    66,182/144,260 = 144,260/x
  3. Step 3: Cross multiply
    66,182x = 144,260 × 144,260
  4. Step 4: Simplify right side
    66,182x = 20,810,947,600
  5. Step 5: Solve for x
    x = 20,810,947,600/66,182
  6. Step 6: Final answer
    x = 314,450.27

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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.