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Finding the Third Proportional to 92,520 and 205,744

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Solution

The third proportional to 92,520 and 205,744 is: 457,529.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,520 : 205,744 = 205,744 : x
  2. Step 2: Convert to fraction form
    92,520/205,744 = 205,744/x
  3. Step 3: Cross multiply
    92,520x = 205,744 × 205,744
  4. Step 4: Simplify right side
    92,520x = 42,330,593,536
  5. Step 5: Solve for x
    x = 42,330,593,536/92,520
  6. Step 6: Final answer
    x = 457,529.11

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.