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Finding the Third Proportional to 109,653 and 227,925

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Solution

The third proportional to 109,653 and 227,925 is: 473,765.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,653 : 227,925 = 227,925 : x
  2. Step 2: Convert to fraction form
    109,653/227,925 = 227,925/x
  3. Step 3: Cross multiply
    109,653x = 227,925 × 227,925
  4. Step 4: Simplify right side
    109,653x = 51,949,805,625
  5. Step 5: Solve for x
    x = 51,949,805,625/109,653
  6. Step 6: Final answer
    x = 473,765.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.