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Finding the Third Proportional to 114,384 and 165,015

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Solution

The third proportional to 114,384 and 165,015 is: 238,057.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,384 : 165,015 = 165,015 : x
  2. Step 2: Convert to fraction form
    114,384/165,015 = 165,015/x
  3. Step 3: Cross multiply
    114,384x = 165,015 × 165,015
  4. Step 4: Simplify right side
    114,384x = 27,229,950,225
  5. Step 5: Solve for x
    x = 27,229,950,225/114,384
  6. Step 6: Final answer
    x = 238,057.34

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.