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Finding the Third Proportional to 85,837 and 177,614

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Solution

The third proportional to 85,837 and 177,614 is: 367,519.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,837 : 177,614 = 177,614 : x
  2. Step 2: Convert to fraction form
    85,837/177,614 = 177,614/x
  3. Step 3: Cross multiply
    85,837x = 177,614 × 177,614
  4. Step 4: Simplify right side
    85,837x = 31,546,732,996
  5. Step 5: Solve for x
    x = 31,546,732,996/85,837
  6. Step 6: Final answer
    x = 367,519.05

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.