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Finding the Third Proportional to 62,949.50 and 135,255

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Solution

The third proportional to 62,949.50 and 135,255 is: 290,612.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,949.50 : 135,255 = 135,255 : x
  2. Step 2: Convert to fraction form
    62,949.50/135,255 = 135,255/x
  3. Step 3: Cross multiply
    62,949.50x = 135,255 × 135,255
  4. Step 4: Simplify right side
    62,949.50x = 18,293,915,025
  5. Step 5: Solve for x
    x = 18,293,915,025/62,949.50
  6. Step 6: Final answer
    x = 290,612.55

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.