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Finding the Third Proportional to 55,641.75 and 123,291.75

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Solution

The third proportional to 55,641.75 and 123,291.75 is: 273,191.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,641.75 : 123,291.75 = 123,291.75 : x
  2. Step 2: Convert to fraction form
    55,641.75/123,291.75 = 123,291.75/x
  3. Step 3: Cross multiply
    55,641.75x = 123,291.75 × 123,291.75
  4. Step 4: Simplify right side
    55,641.75x = 15,200,855,618.06
  5. Step 5: Solve for x
    x = 15,200,855,618.06/55,641.75
  6. Step 6: Final answer
    x = 273,191.54

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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.