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Finding the Third Proportional to 104,020 and 165,510

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Solution

The third proportional to 104,020 and 165,510 is: 263,348.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,020 : 165,510 = 165,510 : x
  2. Step 2: Convert to fraction form
    104,020/165,510 = 165,510/x
  3. Step 3: Cross multiply
    104,020x = 165,510 × 165,510
  4. Step 4: Simplify right side
    104,020x = 27,393,560,100
  5. Step 5: Solve for x
    x = 27,393,560,100/104,020
  6. Step 6: Final answer
    x = 263,348.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.