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Finding the Third Proportional to 101,896 and 239,756

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Solution

The third proportional to 101,896 and 239,756 is: 564,133.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,896 : 239,756 = 239,756 : x
  2. Step 2: Convert to fraction form
    101,896/239,756 = 239,756/x
  3. Step 3: Cross multiply
    101,896x = 239,756 × 239,756
  4. Step 4: Simplify right side
    101,896x = 57,482,939,536
  5. Step 5: Solve for x
    x = 57,482,939,536/101,896
  6. Step 6: Final answer
    x = 564,133.43

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.