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Finding the Third Proportional to 50,436 and 74,193.75

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Solution

The third proportional to 50,436 and 74,193.75 is: 109,142.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,436 : 74,193.75 = 74,193.75 : x
  2. Step 2: Convert to fraction form
    50,436/74,193.75 = 74,193.75/x
  3. Step 3: Cross multiply
    50,436x = 74,193.75 × 74,193.75
  4. Step 4: Simplify right side
    50,436x = 5,504,712,539.06
  5. Step 5: Solve for x
    x = 5,504,712,539.06/50,436
  6. Step 6: Final answer
    x = 109,142.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.