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Finding the Third Proportional to 75,682 and 164,488

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Solution

The third proportional to 75,682 and 164,488 is: 357,499.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,682 : 164,488 = 164,488 : x
  2. Step 2: Convert to fraction form
    75,682/164,488 = 164,488/x
  3. Step 3: Cross multiply
    75,682x = 164,488 × 164,488
  4. Step 4: Simplify right side
    75,682x = 27,056,302,144
  5. Step 5: Solve for x
    x = 27,056,302,144/75,682
  6. Step 6: Final answer
    x = 357,499.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.