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Finding the Third Proportional to 121,867 and 183,650

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Solution

The third proportional to 121,867 and 183,650 is: 276,755.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,867 : 183,650 = 183,650 : x
  2. Step 2: Convert to fraction form
    121,867/183,650 = 183,650/x
  3. Step 3: Cross multiply
    121,867x = 183,650 × 183,650
  4. Step 4: Simplify right side
    121,867x = 33,727,322,500
  5. Step 5: Solve for x
    x = 33,727,322,500/121,867
  6. Step 6: Final answer
    x = 276,755.17

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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.