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Finding the Third Proportional to 116,569 and 177,133

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Solution

The third proportional to 116,569 and 177,133 is: 269,163.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,569 : 177,133 = 177,133 : x
  2. Step 2: Convert to fraction form
    116,569/177,133 = 177,133/x
  3. Step 3: Cross multiply
    116,569x = 177,133 × 177,133
  4. Step 4: Simplify right side
    116,569x = 31,376,099,689
  5. Step 5: Solve for x
    x = 31,376,099,689/116,569
  6. Step 6: Final answer
    x = 269,163.33

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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.