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Finding the Third Proportional to 50,680.69 and 76,021.03

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Solution

The third proportional to 50,680.69 and 76,021.03 is: 114,031.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,680.69 : 76,021.03 = 76,021.03 : x
  2. Step 2: Convert to fraction form
    50,680.69/76,021.03 = 76,021.03/x
  3. Step 3: Cross multiply
    50,680.69x = 76,021.03 × 76,021.03
  4. Step 4: Simplify right side
    50,680.69x = 5,779,197,192.31
  5. Step 5: Solve for x
    x = 5,779,197,192.31/50,680.69
  6. Step 6: Final answer
    x = 114,031.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.