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Finding the Third Proportional to 67,825 and 147,326

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Solution

The third proportional to 67,825 and 147,326 is: 320,014.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,825 : 147,326 = 147,326 : x
  2. Step 2: Convert to fraction form
    67,825/147,326 = 147,326/x
  3. Step 3: Cross multiply
    67,825x = 147,326 × 147,326
  4. Step 4: Simplify right side
    67,825x = 21,704,950,276
  5. Step 5: Solve for x
    x = 21,704,950,276/67,825
  6. Step 6: Final answer
    x = 320,014.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.