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Finding the Third Proportional to 50,202 and 75,305.25

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Solution

The third proportional to 50,202 and 75,305.25 is: 112,961.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,202 : 75,305.25 = 75,305.25 : x
  2. Step 2: Convert to fraction form
    50,202/75,305.25 = 75,305.25/x
  3. Step 3: Cross multiply
    50,202x = 75,305.25 × 75,305.25
  4. Step 4: Simplify right side
    50,202x = 5,670,880,677.56
  5. Step 5: Solve for x
    x = 5,670,880,677.56/50,202
  6. Step 6: Final answer
    x = 112,961.25

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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.