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Finding the Third Proportional to 136,215 and 177,180.75

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Solution

The third proportional to 136,215 and 177,180.75 is: 230,466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,215 : 177,180.75 = 177,180.75 : x
  2. Step 2: Convert to fraction form
    136,215/177,180.75 = 177,180.75/x
  3. Step 3: Cross multiply
    136,215x = 177,180.75 × 177,180.75
  4. Step 4: Simplify right side
    136,215x = 31,393,018,170.56
  5. Step 5: Solve for x
    x = 31,393,018,170.56/136,215
  6. Step 6: Final answer
    x = 230,466.68

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.