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Finding the Third Proportional to 82,268 and 124,009

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Solution

The third proportional to 82,268 and 124,009 is: 186,928.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,268 : 124,009 = 124,009 : x
  2. Step 2: Convert to fraction form
    82,268/124,009 = 124,009/x
  3. Step 3: Cross multiply
    82,268x = 124,009 × 124,009
  4. Step 4: Simplify right side
    82,268x = 15,378,232,081
  5. Step 5: Solve for x
    x = 15,378,232,081/82,268
  6. Step 6: Final answer
    x = 186,928.48

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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.