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Finding the Third Proportional to 52,553 and 79,375

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Solution

The third proportional to 52,553 and 79,375 is: 119,886.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,553 : 79,375 = 79,375 : x
  2. Step 2: Convert to fraction form
    52,553/79,375 = 79,375/x
  3. Step 3: Cross multiply
    52,553x = 79,375 × 79,375
  4. Step 4: Simplify right side
    52,553x = 6,300,390,625
  5. Step 5: Solve for x
    x = 6,300,390,625/52,553
  6. Step 6: Final answer
    x = 119,886.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.