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Finding the Third Proportional to 55,922 and 124,276

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Solution

The third proportional to 55,922 and 124,276 is: 276,179.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,922 : 124,276 = 124,276 : x
  2. Step 2: Convert to fraction form
    55,922/124,276 = 124,276/x
  3. Step 3: Cross multiply
    55,922x = 124,276 × 124,276
  4. Step 4: Simplify right side
    55,922x = 15,444,524,176
  5. Step 5: Solve for x
    x = 15,444,524,176/55,922
  6. Step 6: Final answer
    x = 276,179.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.