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Finding the Third Proportional to 67,576 and 143,900

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Solution

The third proportional to 67,576 and 143,900 is: 306,428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,576 : 143,900 = 143,900 : x
  2. Step 2: Convert to fraction form
    67,576/143,900 = 143,900/x
  3. Step 3: Cross multiply
    67,576x = 143,900 × 143,900
  4. Step 4: Simplify right side
    67,576x = 20,707,210,000
  5. Step 5: Solve for x
    x = 20,707,210,000/67,576
  6. Step 6: Final answer
    x = 306,428.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.