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Finding the Third Proportional to 85,844 and 179,532

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Solution

The third proportional to 85,844 and 179,532 is: 375,468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,844 : 179,532 = 179,532 : x
  2. Step 2: Convert to fraction form
    85,844/179,532 = 179,532/x
  3. Step 3: Cross multiply
    85,844x = 179,532 × 179,532
  4. Step 4: Simplify right side
    85,844x = 32,231,739,024
  5. Step 5: Solve for x
    x = 32,231,739,024/85,844
  6. Step 6: Final answer
    x = 375,468.75

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.