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Finding the Third Proportional to 36,953.50 and 81,060.50

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Solution

The third proportional to 36,953.50 and 81,060.50 is: 177,812.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,953.50 : 81,060.50 = 81,060.50 : x
  2. Step 2: Convert to fraction form
    36,953.50/81,060.50 = 81,060.50/x
  3. Step 3: Cross multiply
    36,953.50x = 81,060.50 × 81,060.50
  4. Step 4: Simplify right side
    36,953.50x = 6,570,804,660.25
  5. Step 5: Solve for x
    x = 6,570,804,660.25/36,953.50
  6. Step 6: Final answer
    x = 177,812.78

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.