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Finding the Third Proportional to 75,870 and 165,753

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Solution

The third proportional to 75,870 and 165,753 is: 362,120.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,870 : 165,753 = 165,753 : x
  2. Step 2: Convert to fraction form
    75,870/165,753 = 165,753/x
  3. Step 3: Cross multiply
    75,870x = 165,753 × 165,753
  4. Step 4: Simplify right side
    75,870x = 27,474,057,009
  5. Step 5: Solve for x
    x = 27,474,057,009/75,870
  6. Step 6: Final answer
    x = 362,120.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.