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Finding the Third Proportional to 34,188 and 71,831.25

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Solution

The third proportional to 34,188 and 71,831.25 is: 150,922.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,188 : 71,831.25 = 71,831.25 : x
  2. Step 2: Convert to fraction form
    34,188/71,831.25 = 71,831.25/x
  3. Step 3: Cross multiply
    34,188x = 71,831.25 × 71,831.25
  4. Step 4: Simplify right side
    34,188x = 5,159,728,476.56
  5. Step 5: Solve for x
    x = 5,159,728,476.56/34,188
  6. Step 6: Final answer
    x = 150,922.21

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.