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Finding the Third Proportional to 85,596 and 190,861

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Solution

The third proportional to 85,596 and 190,861 is: 425,579.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,596 : 190,861 = 190,861 : x
  2. Step 2: Convert to fraction form
    85,596/190,861 = 190,861/x
  3. Step 3: Cross multiply
    85,596x = 190,861 × 190,861
  4. Step 4: Simplify right side
    85,596x = 36,427,921,321
  5. Step 5: Solve for x
    x = 36,427,921,321/85,596
  6. Step 6: Final answer
    x = 425,579.72

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.