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Finding the Third Proportional to 82,476 and 183,906

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Solution

The third proportional to 82,476 and 183,906 is: 410,075.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,476 : 183,906 = 183,906 : x
  2. Step 2: Convert to fraction form
    82,476/183,906 = 183,906/x
  3. Step 3: Cross multiply
    82,476x = 183,906 × 183,906
  4. Step 4: Simplify right side
    82,476x = 33,821,416,836
  5. Step 5: Solve for x
    x = 33,821,416,836/82,476
  6. Step 6: Final answer
    x = 410,075.86

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.