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Finding the Third Proportional to 121,941 and 187,668

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Solution

The third proportional to 121,941 and 187,668 is: 288,822.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,941 : 187,668 = 187,668 : x
  2. Step 2: Convert to fraction form
    121,941/187,668 = 187,668/x
  3. Step 3: Cross multiply
    121,941x = 187,668 × 187,668
  4. Step 4: Simplify right side
    121,941x = 35,219,278,224
  5. Step 5: Solve for x
    x = 35,219,278,224/121,941
  6. Step 6: Final answer
    x = 288,822.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.