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Finding the Third Proportional to 121,417 and 183,821

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Solution

The third proportional to 121,417 and 183,821 is: 278,298.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,417 : 183,821 = 183,821 : x
  2. Step 2: Convert to fraction form
    121,417/183,821 = 183,821/x
  3. Step 3: Cross multiply
    121,417x = 183,821 × 183,821
  4. Step 4: Simplify right side
    121,417x = 33,790,160,041
  5. Step 5: Solve for x
    x = 33,790,160,041/121,417
  6. Step 6: Final answer
    x = 278,298.43

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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.