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Finding the Third Proportional to 61,930.83 and 135,673.73

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Solution

The third proportional to 61,930.83 and 135,673.73 is: 297,224.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,930.83 : 135,673.73 = 135,673.73 : x
  2. Step 2: Convert to fraction form
    61,930.83/135,673.73 = 135,673.73/x
  3. Step 3: Cross multiply
    61,930.83x = 135,673.73 × 135,673.73
  4. Step 4: Simplify right side
    61,930.83x = 18,407,362,199.26
  5. Step 5: Solve for x
    x = 18,407,362,199.26/61,930.83
  6. Step 6: Final answer
    x = 297,224.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.