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Finding the Third Proportional to 50,025 and 76,308

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Solution

The third proportional to 50,025 and 76,308 is: 116,400.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,025 : 76,308 = 76,308 : x
  2. Step 2: Convert to fraction form
    50,025/76,308 = 76,308/x
  3. Step 3: Cross multiply
    50,025x = 76,308 × 76,308
  4. Step 4: Simplify right side
    50,025x = 5,822,910,864
  5. Step 5: Solve for x
    x = 5,822,910,864/50,025
  6. Step 6: Final answer
    x = 116,400.02

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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.