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Finding the Third Proportional to 50,463 and 91,813.50

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Solution

The third proportional to 50,463 and 91,813.50 is: 167,047.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,463 : 91,813.50 = 91,813.50 : x
  2. Step 2: Convert to fraction form
    50,463/91,813.50 = 91,813.50/x
  3. Step 3: Cross multiply
    50,463x = 91,813.50 × 91,813.50
  4. Step 4: Simplify right side
    50,463x = 8,429,718,782.25
  5. Step 5: Solve for x
    x = 8,429,718,782.25/50,463
  6. Step 6: Final answer
    x = 167,047.52

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Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.