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Finding the Third Proportional to 50,189.63 and 76,919.63

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Solution

The third proportional to 50,189.63 and 76,919.63 is: 117,885.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,189.63 : 76,919.63 = 76,919.63 : x
  2. Step 2: Convert to fraction form
    50,189.63/76,919.63 = 76,919.63/x
  3. Step 3: Cross multiply
    50,189.63x = 76,919.63 × 76,919.63
  4. Step 4: Simplify right side
    50,189.63x = 5,916,628,710.14
  5. Step 5: Solve for x
    x = 5,916,628,710.14/50,189.63
  6. Step 6: Final answer
    x = 117,885.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.