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Finding the Third Proportional to 72,828 and 158,475

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Solution

The third proportional to 72,828 and 158,475 is: 344,844.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,828 : 158,475 = 158,475 : x
  2. Step 2: Convert to fraction form
    72,828/158,475 = 158,475/x
  3. Step 3: Cross multiply
    72,828x = 158,475 × 158,475
  4. Step 4: Simplify right side
    72,828x = 25,114,325,625
  5. Step 5: Solve for x
    x = 25,114,325,625/72,828
  6. Step 6: Final answer
    x = 344,844.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.