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Finding the Third Proportional to 70,250 and 165,826

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Solution

The third proportional to 70,250 and 165,826 is: 391,434.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,250 : 165,826 = 165,826 : x
  2. Step 2: Convert to fraction form
    70,250/165,826 = 165,826/x
  3. Step 3: Cross multiply
    70,250x = 165,826 × 165,826
  4. Step 4: Simplify right side
    70,250x = 27,498,262,276
  5. Step 5: Solve for x
    x = 27,498,262,276/70,250
  6. Step 6: Final answer
    x = 391,434.34

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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.