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Finding the Third Proportional to 85,306 and 183,571

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Solution

The third proportional to 85,306 and 183,571 is: 395,028.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,306 : 183,571 = 183,571 : x
  2. Step 2: Convert to fraction form
    85,306/183,571 = 183,571/x
  3. Step 3: Cross multiply
    85,306x = 183,571 × 183,571
  4. Step 4: Simplify right side
    85,306x = 33,698,312,041
  5. Step 5: Solve for x
    x = 33,698,312,041/85,306
  6. Step 6: Final answer
    x = 395,028.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.