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Finding the Third Proportional to 124,686 and 269,055

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Solution

The third proportional to 124,686 and 269,055 is: 580,583.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,686 : 269,055 = 269,055 : x
  2. Step 2: Convert to fraction form
    124,686/269,055 = 269,055/x
  3. Step 3: Cross multiply
    124,686x = 269,055 × 269,055
  4. Step 4: Simplify right side
    124,686x = 72,390,593,025
  5. Step 5: Solve for x
    x = 72,390,593,025/124,686
  6. Step 6: Final answer
    x = 580,583.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.