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Finding the Third Proportional to 52,638 and 83,341

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Solution

The third proportional to 52,638 and 83,341 is: 131,952.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,638 : 83,341 = 83,341 : x
  2. Step 2: Convert to fraction form
    52,638/83,341 = 83,341/x
  3. Step 3: Cross multiply
    52,638x = 83,341 × 83,341
  4. Step 4: Simplify right side
    52,638x = 6,945,722,281
  5. Step 5: Solve for x
    x = 6,945,722,281/52,638
  6. Step 6: Final answer
    x = 131,952.63

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.