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Finding the Third Proportional to 51,664 and 109,475

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Solution

The third proportional to 51,664 and 109,475 is: 231,975.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,664 : 109,475 = 109,475 : x
  2. Step 2: Convert to fraction form
    51,664/109,475 = 109,475/x
  3. Step 3: Cross multiply
    51,664x = 109,475 × 109,475
  4. Step 4: Simplify right side
    51,664x = 11,984,775,625
  5. Step 5: Solve for x
    x = 11,984,775,625/51,664
  6. Step 6: Final answer
    x = 231,975.37

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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.