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Finding the Third Proportional to 50,972 and 108,132

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Solution

The third proportional to 50,972 and 108,132 is: 229,391.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,972 : 108,132 = 108,132 : x
  2. Step 2: Convert to fraction form
    50,972/108,132 = 108,132/x
  3. Step 3: Cross multiply
    50,972x = 108,132 × 108,132
  4. Step 4: Simplify right side
    50,972x = 11,692,529,424
  5. Step 5: Solve for x
    x = 11,692,529,424/50,972
  6. Step 6: Final answer
    x = 229,391.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.