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Finding the Third Proportional to 75,609 and 164,826

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Solution

The third proportional to 75,609 and 164,826 is: 359,317.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,609 : 164,826 = 164,826 : x
  2. Step 2: Convert to fraction form
    75,609/164,826 = 164,826/x
  3. Step 3: Cross multiply
    75,609x = 164,826 × 164,826
  4. Step 4: Simplify right side
    75,609x = 27,167,610,276
  5. Step 5: Solve for x
    x = 27,167,610,276/75,609
  6. Step 6: Final answer
    x = 359,317.15

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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.