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Finding the Third Proportional to 116,901 and 160,767

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Solution

The third proportional to 116,901 and 160,767 is: 221,093.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,901 : 160,767 = 160,767 : x
  2. Step 2: Convert to fraction form
    116,901/160,767 = 160,767/x
  3. Step 3: Cross multiply
    116,901x = 160,767 × 160,767
  4. Step 4: Simplify right side
    116,901x = 25,846,028,289
  5. Step 5: Solve for x
    x = 25,846,028,289/116,901
  6. Step 6: Final answer
    x = 221,093.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.