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Finding the Third Proportional to 119,922 and 170,844

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Solution

The third proportional to 119,922 and 170,844 is: 243,388.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,922 : 170,844 = 170,844 : x
  2. Step 2: Convert to fraction form
    119,922/170,844 = 170,844/x
  3. Step 3: Cross multiply
    119,922x = 170,844 × 170,844
  4. Step 4: Simplify right side
    119,922x = 29,187,672,336
  5. Step 5: Solve for x
    x = 29,187,672,336/119,922
  6. Step 6: Final answer
    x = 243,388.81

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.