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Finding the Third Proportional to 75,394 and 156,914

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Solution

The third proportional to 75,394 and 156,914 is: 326,577.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,394 : 156,914 = 156,914 : x
  2. Step 2: Convert to fraction form
    75,394/156,914 = 156,914/x
  3. Step 3: Cross multiply
    75,394x = 156,914 × 156,914
  4. Step 4: Simplify right side
    75,394x = 24,622,003,396
  5. Step 5: Solve for x
    x = 24,622,003,396/75,394
  6. Step 6: Final answer
    x = 326,577.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.