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Finding the Third Proportional to 102,724 and 144,234

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Solution

The third proportional to 102,724 and 144,234 is: 202,517.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,724 : 144,234 = 144,234 : x
  2. Step 2: Convert to fraction form
    102,724/144,234 = 144,234/x
  3. Step 3: Cross multiply
    102,724x = 144,234 × 144,234
  4. Step 4: Simplify right side
    102,724x = 20,803,446,756
  5. Step 5: Solve for x
    x = 20,803,446,756/102,724
  6. Step 6: Final answer
    x = 202,517.88

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.