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Finding the Third Proportional to 52,234 and 78,467

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Solution

The third proportional to 52,234 and 78,467 is: 117,874.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,234 : 78,467 = 78,467 : x
  2. Step 2: Convert to fraction form
    52,234/78,467 = 78,467/x
  3. Step 3: Cross multiply
    52,234x = 78,467 × 78,467
  4. Step 4: Simplify right side
    52,234x = 6,157,070,089
  5. Step 5: Solve for x
    x = 6,157,070,089/52,234
  6. Step 6: Final answer
    x = 117,874.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.