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Finding the Third Proportional to 121,562 and 184,022

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Solution

The third proportional to 121,562 and 184,022 is: 278,574.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,562 : 184,022 = 184,022 : x
  2. Step 2: Convert to fraction form
    121,562/184,022 = 184,022/x
  3. Step 3: Cross multiply
    121,562x = 184,022 × 184,022
  4. Step 4: Simplify right side
    121,562x = 33,864,096,484
  5. Step 5: Solve for x
    x = 33,864,096,484/121,562
  6. Step 6: Final answer
    x = 278,574.69

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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.