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Finding the Third Proportional to 61,033.50 and 142,593.75

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Solution

The third proportional to 61,033.50 and 142,593.75 is: 333,144.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,033.50 : 142,593.75 = 142,593.75 : x
  2. Step 2: Convert to fraction form
    61,033.50/142,593.75 = 142,593.75/x
  3. Step 3: Cross multiply
    61,033.50x = 142,593.75 × 142,593.75
  4. Step 4: Simplify right side
    61,033.50x = 20,332,977,539.06
  5. Step 5: Solve for x
    x = 20,332,977,539.06/61,033.50
  6. Step 6: Final answer
    x = 333,144.54

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.