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Finding the Third Proportional to 52,242 and 110,940

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Solution

The third proportional to 52,242 and 110,940 is: 235,589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,242 : 110,940 = 110,940 : x
  2. Step 2: Convert to fraction form
    52,242/110,940 = 110,940/x
  3. Step 3: Cross multiply
    52,242x = 110,940 × 110,940
  4. Step 4: Simplify right side
    52,242x = 12,307,683,600
  5. Step 5: Solve for x
    x = 12,307,683,600/52,242
  6. Step 6: Final answer
    x = 235,589.82

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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.