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Finding the Third Proportional to 52,028 and 110,538

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Solution

The third proportional to 52,028 and 110,538 is: 234,847.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,028 : 110,538 = 110,538 : x
  2. Step 2: Convert to fraction form
    52,028/110,538 = 110,538/x
  3. Step 3: Cross multiply
    52,028x = 110,538 × 110,538
  4. Step 4: Simplify right side
    52,028x = 12,218,649,444
  5. Step 5: Solve for x
    x = 12,218,649,444/52,028
  6. Step 6: Final answer
    x = 234,847.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.