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Finding the Third Proportional to 100,132 and 187,652

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Solution

The third proportional to 100,132 and 187,652 is: 351,668.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,132 : 187,652 = 187,652 : x
  2. Step 2: Convert to fraction form
    100,132/187,652 = 187,652/x
  3. Step 3: Cross multiply
    100,132x = 187,652 × 187,652
  4. Step 4: Simplify right side
    100,132x = 35,213,273,104
  5. Step 5: Solve for x
    x = 35,213,273,104/100,132
  6. Step 6: Final answer
    x = 351,668.53

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.