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Finding the Third Proportional to 121,334 and 183,698

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Solution

The third proportional to 121,334 and 183,698 is: 278,116.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,334 : 183,698 = 183,698 : x
  2. Step 2: Convert to fraction form
    121,334/183,698 = 183,698/x
  3. Step 3: Cross multiply
    121,334x = 183,698 × 183,698
  4. Step 4: Simplify right side
    121,334x = 33,744,955,204
  5. Step 5: Solve for x
    x = 33,744,955,204/121,334
  6. Step 6: Final answer
    x = 278,116.23

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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.