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Finding the Third Proportional to 76,181.38 and 164,069.75

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Solution

The third proportional to 76,181.38 and 164,069.75 is: 353,352.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,181.38 : 164,069.75 = 164,069.75 : x
  2. Step 2: Convert to fraction form
    76,181.38/164,069.75 = 164,069.75/x
  3. Step 3: Cross multiply
    76,181.38x = 164,069.75 × 164,069.75
  4. Step 4: Simplify right side
    76,181.38x = 26,918,882,865.06
  5. Step 5: Solve for x
    x = 26,918,882,865.06/76,181.38
  6. Step 6: Final answer
    x = 353,352.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.