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Finding the Third Proportional to 52,028 and 115,734

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Solution

The third proportional to 52,028 and 115,734 is: 257,445.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,028 : 115,734 = 115,734 : x
  2. Step 2: Convert to fraction form
    52,028/115,734 = 115,734/x
  3. Step 3: Cross multiply
    52,028x = 115,734 × 115,734
  4. Step 4: Simplify right side
    52,028x = 13,394,358,756
  5. Step 5: Solve for x
    x = 13,394,358,756/52,028
  6. Step 6: Final answer
    x = 257,445.20

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.