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Finding the Third Proportional to 55,100.25 and 124,233.75

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Solution

The third proportional to 55,100.25 and 124,233.75 is: 280,108.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,100.25 : 124,233.75 = 124,233.75 : x
  2. Step 2: Convert to fraction form
    55,100.25/124,233.75 = 124,233.75/x
  3. Step 3: Cross multiply
    55,100.25x = 124,233.75 × 124,233.75
  4. Step 4: Simplify right side
    55,100.25x = 15,434,024,639.06
  5. Step 5: Solve for x
    x = 15,434,024,639.06/55,100.25
  6. Step 6: Final answer
    x = 280,108.07

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.