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Finding the Third Proportional to 50,592 and 72,870

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Solution

The third proportional to 50,592 and 72,870 is: 104,958.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,592 : 72,870 = 72,870 : x
  2. Step 2: Convert to fraction form
    50,592/72,870 = 72,870/x
  3. Step 3: Cross multiply
    50,592x = 72,870 × 72,870
  4. Step 4: Simplify right side
    50,592x = 5,310,036,900
  5. Step 5: Solve for x
    x = 5,310,036,900/50,592
  6. Step 6: Final answer
    x = 104,958.03

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.