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Finding the Third Proportional to 67,326 and 146,475

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Solution

The third proportional to 67,326 and 146,475 is: 318,672.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,326 : 146,475 = 146,475 : x
  2. Step 2: Convert to fraction form
    67,326/146,475 = 146,475/x
  3. Step 3: Cross multiply
    67,326x = 146,475 × 146,475
  4. Step 4: Simplify right side
    67,326x = 21,454,925,625
  5. Step 5: Solve for x
    x = 21,454,925,625/67,326
  6. Step 6: Final answer
    x = 318,672.22

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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.