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Finding the Third Proportional to 52,810 and 76,837

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Solution

The third proportional to 52,810 and 76,837 is: 111,795.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,810 : 76,837 = 76,837 : x
  2. Step 2: Convert to fraction form
    52,810/76,837 = 76,837/x
  3. Step 3: Cross multiply
    52,810x = 76,837 × 76,837
  4. Step 4: Simplify right side
    52,810x = 5,903,924,569
  5. Step 5: Solve for x
    x = 5,903,924,569/52,810
  6. Step 6: Final answer
    x = 111,795.58

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.