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Finding the Third Proportional to 37,060.50 and 76,573.50

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Solution

The third proportional to 37,060.50 and 76,573.50 is: 158,214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,060.50 : 76,573.50 = 76,573.50 : x
  2. Step 2: Convert to fraction form
    37,060.50/76,573.50 = 76,573.50/x
  3. Step 3: Cross multiply
    37,060.50x = 76,573.50 × 76,573.50
  4. Step 4: Simplify right side
    37,060.50x = 5,863,500,902.25
  5. Step 5: Solve for x
    x = 5,863,500,902.25/37,060.50
  6. Step 6: Final answer
    x = 158,214.30

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.