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Finding the Third Proportional to 52,923 and 113,125

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Solution

The third proportional to 52,923 and 113,125 is: 241,809.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,923 : 113,125 = 113,125 : x
  2. Step 2: Convert to fraction form
    52,923/113,125 = 113,125/x
  3. Step 3: Cross multiply
    52,923x = 113,125 × 113,125
  4. Step 4: Simplify right side
    52,923x = 12,797,265,625
  5. Step 5: Solve for x
    x = 12,797,265,625/52,923
  6. Step 6: Final answer
    x = 241,809.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.