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Finding the Third Proportional to 50,046 and 76,733

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Solution

The third proportional to 50,046 and 76,733 is: 117,650.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,046 : 76,733 = 76,733 : x
  2. Step 2: Convert to fraction form
    50,046/76,733 = 76,733/x
  3. Step 3: Cross multiply
    50,046x = 76,733 × 76,733
  4. Step 4: Simplify right side
    50,046x = 5,887,953,289
  5. Step 5: Solve for x
    x = 5,887,953,289/50,046
  6. Step 6: Final answer
    x = 117,650.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.