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Finding the Third Proportional to 121,346 and 183,716

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Solution

The third proportional to 121,346 and 183,716 is: 278,143.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,346 : 183,716 = 183,716 : x
  2. Step 2: Convert to fraction form
    121,346/183,716 = 183,716/x
  3. Step 3: Cross multiply
    121,346x = 183,716 × 183,716
  4. Step 4: Simplify right side
    121,346x = 33,751,568,656
  5. Step 5: Solve for x
    x = 33,751,568,656/121,346
  6. Step 6: Final answer
    x = 278,143.23

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