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Finding the Third Proportional to 116,816 and 171,072

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Solution

The third proportional to 116,816 and 171,072 is: 250,527.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,816 : 171,072 = 171,072 : x
  2. Step 2: Convert to fraction form
    116,816/171,072 = 171,072/x
  3. Step 3: Cross multiply
    116,816x = 171,072 × 171,072
  4. Step 4: Simplify right side
    116,816x = 29,265,629,184
  5. Step 5: Solve for x
    x = 29,265,629,184/116,816
  6. Step 6: Final answer
    x = 250,527.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.