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Finding the Third Proportional to 85,164.75 and 175,794.75

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Solution

The third proportional to 85,164.75 and 175,794.75 is: 362,870.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,164.75 : 175,794.75 = 175,794.75 : x
  2. Step 2: Convert to fraction form
    85,164.75/175,794.75 = 175,794.75/x
  3. Step 3: Cross multiply
    85,164.75x = 175,794.75 × 175,794.75
  4. Step 4: Simplify right side
    85,164.75x = 30,903,794,127.56
  5. Step 5: Solve for x
    x = 30,903,794,127.56/85,164.75
  6. Step 6: Final answer
    x = 362,870.72

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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.