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Finding the Third Proportional to 85,924 and 189,296

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Solution

The third proportional to 85,924 and 189,296 is: 417,031.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,924 : 189,296 = 189,296 : x
  2. Step 2: Convert to fraction form
    85,924/189,296 = 189,296/x
  3. Step 3: Cross multiply
    85,924x = 189,296 × 189,296
  4. Step 4: Simplify right side
    85,924x = 35,832,975,616
  5. Step 5: Solve for x
    x = 35,832,975,616/85,924
  6. Step 6: Final answer
    x = 417,031.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.