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Finding the Third Proportional to 116,827 and 177,551

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Solution

The third proportional to 116,827 and 177,551 is: 269,837.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,827 : 177,551 = 177,551 : x
  2. Step 2: Convert to fraction form
    116,827/177,551 = 177,551/x
  3. Step 3: Cross multiply
    116,827x = 177,551 × 177,551
  4. Step 4: Simplify right side
    116,827x = 31,524,357,601
  5. Step 5: Solve for x
    x = 31,524,357,601/116,827
  6. Step 6: Final answer
    x = 269,837.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.