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Finding the Third Proportional to 70,253 and 165,836

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Solution

The third proportional to 70,253 and 165,836 is: 391,464.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,253 : 165,836 = 165,836 : x
  2. Step 2: Convert to fraction form
    70,253/165,836 = 165,836/x
  3. Step 3: Cross multiply
    70,253x = 165,836 × 165,836
  4. Step 4: Simplify right side
    70,253x = 27,501,578,896
  5. Step 5: Solve for x
    x = 27,501,578,896/70,253
  6. Step 6: Final answer
    x = 391,464.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.