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Finding the Third Proportional to 75,603 and 162,762

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Solution

The third proportional to 75,603 and 162,762 is: 350,402.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,603 : 162,762 = 162,762 : x
  2. Step 2: Convert to fraction form
    75,603/162,762 = 162,762/x
  3. Step 3: Cross multiply
    75,603x = 162,762 × 162,762
  4. Step 4: Simplify right side
    75,603x = 26,491,468,644
  5. Step 5: Solve for x
    x = 26,491,468,644/75,603
  6. Step 6: Final answer
    x = 350,402.35

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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.