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Finding the Third Proportional to 50,130 and 89,111

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Solution

The third proportional to 50,130 and 89,111 is: 158,403.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,130 : 89,111 = 89,111 : x
  2. Step 2: Convert to fraction form
    50,130/89,111 = 89,111/x
  3. Step 3: Cross multiply
    50,130x = 89,111 × 89,111
  4. Step 4: Simplify right side
    50,130x = 7,940,770,321
  5. Step 5: Solve for x
    x = 7,940,770,321/50,130
  6. Step 6: Final answer
    x = 158,403.56

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.