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Finding the Third Proportional to 109,896 and 239,925

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Solution

The third proportional to 109,896 and 239,925 is: 523,804.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,896 : 239,925 = 239,925 : x
  2. Step 2: Convert to fraction form
    109,896/239,925 = 239,925/x
  3. Step 3: Cross multiply
    109,896x = 239,925 × 239,925
  4. Step 4: Simplify right side
    109,896x = 57,564,005,625
  5. Step 5: Solve for x
    x = 57,564,005,625/109,896
  6. Step 6: Final answer
    x = 523,804.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.