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Finding the Third Proportional to 117,614 and 177,515

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Solution

The third proportional to 117,614 and 177,515 is: 267,923.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,614 : 177,515 = 177,515 : x
  2. Step 2: Convert to fraction form
    117,614/177,515 = 177,515/x
  3. Step 3: Cross multiply
    117,614x = 177,515 × 177,515
  4. Step 4: Simplify right side
    117,614x = 31,511,575,225
  5. Step 5: Solve for x
    x = 31,511,575,225/117,614
  6. Step 6: Final answer
    x = 267,923.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.