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Finding the Third Proportional to 49,152 and 76,232

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Solution

The third proportional to 49,152 and 76,232 is: 118,231.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,152 : 76,232 = 76,232 : x
  2. Step 2: Convert to fraction form
    49,152/76,232 = 76,232/x
  3. Step 3: Cross multiply
    49,152x = 76,232 × 76,232
  4. Step 4: Simplify right side
    49,152x = 5,811,317,824
  5. Step 5: Solve for x
    x = 5,811,317,824/49,152
  6. Step 6: Final answer
    x = 118,231.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.