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Finding the Third Proportional to 85,825 and 179,497

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Solution

The third proportional to 85,825 and 179,497 is: 375,405.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,825 : 179,497 = 179,497 : x
  2. Step 2: Convert to fraction form
    85,825/179,497 = 179,497/x
  3. Step 3: Cross multiply
    85,825x = 179,497 × 179,497
  4. Step 4: Simplify right side
    85,825x = 32,219,173,009
  5. Step 5: Solve for x
    x = 32,219,173,009/85,825
  6. Step 6: Final answer
    x = 375,405.45

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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.