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Finding the Third Proportional to 121,419 and 183,824

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Solution

The third proportional to 121,419 and 183,824 is: 278,302.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,419 : 183,824 = 183,824 : x
  2. Step 2: Convert to fraction form
    121,419/183,824 = 183,824/x
  3. Step 3: Cross multiply
    121,419x = 183,824 × 183,824
  4. Step 4: Simplify right side
    121,419x = 33,791,262,976
  5. Step 5: Solve for x
    x = 33,791,262,976/121,419
  6. Step 6: Final answer
    x = 278,302.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.