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Finding the Third Proportional to 52,260 and 110,976

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Solution

The third proportional to 52,260 and 110,976 is: 235,661.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,260 : 110,976 = 110,976 : x
  2. Step 2: Convert to fraction form
    52,260/110,976 = 110,976/x
  3. Step 3: Cross multiply
    52,260x = 110,976 × 110,976
  4. Step 4: Simplify right side
    52,260x = 12,315,672,576
  5. Step 5: Solve for x
    x = 12,315,672,576/52,260
  6. Step 6: Final answer
    x = 235,661.55

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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.