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Finding the Third Proportional to 114,769 and 161,333

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Solution

The third proportional to 114,769 and 161,333 is: 226,788.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,769 : 161,333 = 161,333 : x
  2. Step 2: Convert to fraction form
    114,769/161,333 = 161,333/x
  3. Step 3: Cross multiply
    114,769x = 161,333 × 161,333
  4. Step 4: Simplify right side
    114,769x = 26,028,336,889
  5. Step 5: Solve for x
    x = 26,028,336,889/114,769
  6. Step 6: Final answer
    x = 226,788.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.