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Finding the Third Proportional to 85,673.25 and 176,811.75

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Solution

The third proportional to 85,673.25 and 176,811.75 is: 364,902.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,673.25 : 176,811.75 = 176,811.75 : x
  2. Step 2: Convert to fraction form
    85,673.25/176,811.75 = 176,811.75/x
  3. Step 3: Cross multiply
    85,673.25x = 176,811.75 × 176,811.75
  4. Step 4: Simplify right side
    85,673.25x = 31,262,394,938.06
  5. Step 5: Solve for x
    x = 31,262,394,938.06/85,673.25
  6. Step 6: Final answer
    x = 364,902.64

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.