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Finding the Third Proportional to 37,060.75 and 81,501.88

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Solution

The third proportional to 37,060.75 and 81,501.88 is: 179,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,060.75 : 81,501.88 = 81,501.88 : x
  2. Step 2: Convert to fraction form
    37,060.75/81,501.88 = 81,501.88/x
  3. Step 3: Cross multiply
    37,060.75x = 81,501.88 × 81,501.88
  4. Step 4: Simplify right side
    37,060.75x = 6,642,555,628.52
  5. Step 5: Solve for x
    x = 6,642,555,628.52/37,060.75
  6. Step 6: Final answer
    x = 179,234.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.