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Finding the Third Proportional to 42,456 and 95,861

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Solution

The third proportional to 42,456 and 95,861 is: 216,443.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,456 : 95,861 = 95,861 : x
  2. Step 2: Convert to fraction form
    42,456/95,861 = 95,861/x
  3. Step 3: Cross multiply
    42,456x = 95,861 × 95,861
  4. Step 4: Simplify right side
    42,456x = 9,189,331,321
  5. Step 5: Solve for x
    x = 9,189,331,321/42,456
  6. Step 6: Final answer
    x = 216,443.64

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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.