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Finding the Third Proportional to 50,559 and 76,534.50

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Solution

The third proportional to 50,559 and 76,534.50 is: 115,855.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,559 : 76,534.50 = 76,534.50 : x
  2. Step 2: Convert to fraction form
    50,559/76,534.50 = 76,534.50/x
  3. Step 3: Cross multiply
    50,559x = 76,534.50 × 76,534.50
  4. Step 4: Simplify right side
    50,559x = 5,857,529,690.25
  5. Step 5: Solve for x
    x = 5,857,529,690.25/50,559
  6. Step 6: Final answer
    x = 115,855.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.