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Finding the Third Proportional to 61,941.94 and 135,260.44

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Solution

The third proportional to 61,941.94 and 135,260.44 is: 295,363.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,941.94 : 135,260.44 = 135,260.44 : x
  2. Step 2: Convert to fraction form
    61,941.94/135,260.44 = 135,260.44/x
  3. Step 3: Cross multiply
    61,941.94x = 135,260.44 × 135,260.44
  4. Step 4: Simplify right side
    61,941.94x = 18,295,385,952.69
  5. Step 5: Solve for x
    x = 18,295,385,952.69/61,941.94
  6. Step 6: Final answer
    x = 295,363.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.