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Finding the Third Proportional to 37,188 and 81,153

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Solution

The third proportional to 37,188 and 81,153 is: 177,095.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,188 : 81,153 = 81,153 : x
  2. Step 2: Convert to fraction form
    37,188/81,153 = 81,153/x
  3. Step 3: Cross multiply
    37,188x = 81,153 × 81,153
  4. Step 4: Simplify right side
    37,188x = 6,585,809,409
  5. Step 5: Solve for x
    x = 6,585,809,409/37,188
  6. Step 6: Final answer
    x = 177,095.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.