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Finding the Third Proportional to 66,731.25 and 141,940.50

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Solution

The third proportional to 66,731.25 and 141,940.50 is: 301,914.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,731.25 : 141,940.50 = 141,940.50 : x
  2. Step 2: Convert to fraction form
    66,731.25/141,940.50 = 141,940.50/x
  3. Step 3: Cross multiply
    66,731.25x = 141,940.50 × 141,940.50
  4. Step 4: Simplify right side
    66,731.25x = 20,147,105,540.25
  5. Step 5: Solve for x
    x = 20,147,105,540.25/66,731.25
  6. Step 6: Final answer
    x = 301,914.10

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.