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Finding the Third Proportional to 53,743.50 and 124,922.25

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Solution

The third proportional to 53,743.50 and 124,922.25 is: 290,371.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,743.50 : 124,922.25 = 124,922.25 : x
  2. Step 2: Convert to fraction form
    53,743.50/124,922.25 = 124,922.25/x
  3. Step 3: Cross multiply
    53,743.50x = 124,922.25 × 124,922.25
  4. Step 4: Simplify right side
    53,743.50x = 15,605,568,545.06
  5. Step 5: Solve for x
    x = 15,605,568,545.06/53,743.50
  6. Step 6: Final answer
    x = 290,371.27

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.