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Finding the Third Proportional to 75,017 and 162,914

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Solution

The third proportional to 75,017 and 162,914 is: 353,799.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,017 : 162,914 = 162,914 : x
  2. Step 2: Convert to fraction form
    75,017/162,914 = 162,914/x
  3. Step 3: Cross multiply
    75,017x = 162,914 × 162,914
  4. Step 4: Simplify right side
    75,017x = 26,540,971,396
  5. Step 5: Solve for x
    x = 26,540,971,396/75,017
  6. Step 6: Final answer
    x = 353,799.42

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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.