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Finding the Third Proportional to 50,656.50 and 76,011.75

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Solution

The third proportional to 50,656.50 and 76,011.75 is: 114,058.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,656.50 : 76,011.75 = 76,011.75 : x
  2. Step 2: Convert to fraction form
    50,656.50/76,011.75 = 76,011.75/x
  3. Step 3: Cross multiply
    50,656.50x = 76,011.75 × 76,011.75
  4. Step 4: Simplify right side
    50,656.50x = 5,777,786,138.06
  5. Step 5: Solve for x
    x = 5,777,786,138.06/50,656.50
  6. Step 6: Final answer
    x = 114,058.14

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Why These Related Problems?

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