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Finding the Third Proportional to 42,402 and 95,621

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Solution

The third proportional to 42,402 and 95,621 is: 215,635.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,402 : 95,621 = 95,621 : x
  2. Step 2: Convert to fraction form
    42,402/95,621 = 95,621/x
  3. Step 3: Cross multiply
    42,402x = 95,621 × 95,621
  4. Step 4: Simplify right side
    42,402x = 9,143,375,641
  5. Step 5: Solve for x
    x = 9,143,375,641/42,402
  6. Step 6: Final answer
    x = 215,635.48

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.