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Finding the Third Proportional to 121,824 and 191,151

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Solution

The third proportional to 121,824 and 191,151 is: 299,930.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,824 : 191,151 = 191,151 : x
  2. Step 2: Convert to fraction form
    121,824/191,151 = 191,151/x
  3. Step 3: Cross multiply
    121,824x = 191,151 × 191,151
  4. Step 4: Simplify right side
    121,824x = 36,538,704,801
  5. Step 5: Solve for x
    x = 36,538,704,801/121,824
  6. Step 6: Final answer
    x = 299,930.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.