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Finding the Third Proportional to 75,601 and 162,758

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Solution

The third proportional to 75,601 and 162,758 is: 350,394.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,601 : 162,758 = 162,758 : x
  2. Step 2: Convert to fraction form
    75,601/162,758 = 162,758/x
  3. Step 3: Cross multiply
    75,601x = 162,758 × 162,758
  4. Step 4: Simplify right side
    75,601x = 26,490,166,564
  5. Step 5: Solve for x
    x = 26,490,166,564/75,601
  6. Step 6: Final answer
    x = 350,394.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.