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Finding the Third Proportional to 50,762 and 76,143

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Solution

The third proportional to 50,762 and 76,143 is: 114,214.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,762 : 76,143 = 76,143 : x
  2. Step 2: Convert to fraction form
    50,762/76,143 = 76,143/x
  3. Step 3: Cross multiply
    50,762x = 76,143 × 76,143
  4. Step 4: Simplify right side
    50,762x = 5,797,756,449
  5. Step 5: Solve for x
    x = 5,797,756,449/50,762
  6. Step 6: Final answer
    x = 114,214.50

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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.