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Finding the Third Proportional to 114,384 and 165,013

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Solution

The third proportional to 114,384 and 165,013 is: 238,051.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,384 : 165,013 = 165,013 : x
  2. Step 2: Convert to fraction form
    114,384/165,013 = 165,013/x
  3. Step 3: Cross multiply
    114,384x = 165,013 × 165,013
  4. Step 4: Simplify right side
    114,384x = 27,229,290,169
  5. Step 5: Solve for x
    x = 27,229,290,169/114,384
  6. Step 6: Final answer
    x = 238,051.56

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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.