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Finding the Third Proportional to 52,256 and 79,607

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Solution

The third proportional to 52,256 and 79,607 is: 121,273.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,256 : 79,607 = 79,607 : x
  2. Step 2: Convert to fraction form
    52,256/79,607 = 79,607/x
  3. Step 3: Cross multiply
    52,256x = 79,607 × 79,607
  4. Step 4: Simplify right side
    52,256x = 6,337,274,449
  5. Step 5: Solve for x
    x = 6,337,274,449/52,256
  6. Step 6: Final answer
    x = 121,273.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.