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Finding the Third Proportional to 67,690 and 99,573

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Solution

The third proportional to 67,690 and 99,573 is: 146,473.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,690 : 99,573 = 99,573 : x
  2. Step 2: Convert to fraction form
    67,690/99,573 = 99,573/x
  3. Step 3: Cross multiply
    67,690x = 99,573 × 99,573
  4. Step 4: Simplify right side
    67,690x = 9,914,782,329
  5. Step 5: Solve for x
    x = 9,914,782,329/67,690
  6. Step 6: Final answer
    x = 146,473.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.