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Finding the Third Proportional to 55,234 and 82,851

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Solution

The third proportional to 55,234 and 82,851 is: 124,276.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,234 : 82,851 = 82,851 : x
  2. Step 2: Convert to fraction form
    55,234/82,851 = 82,851/x
  3. Step 3: Cross multiply
    55,234x = 82,851 × 82,851
  4. Step 4: Simplify right side
    55,234x = 6,864,288,201
  5. Step 5: Solve for x
    x = 6,864,288,201/55,234
  6. Step 6: Final answer
    x = 124,276.50

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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.