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Finding the Third Proportional to 67,403 and 103,150

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Solution

The third proportional to 67,403 and 103,150 is: 157,855.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,403 : 103,150 = 103,150 : x
  2. Step 2: Convert to fraction form
    67,403/103,150 = 103,150/x
  3. Step 3: Cross multiply
    67,403x = 103,150 × 103,150
  4. Step 4: Simplify right side
    67,403x = 10,639,922,500
  5. Step 5: Solve for x
    x = 10,639,922,500/67,403
  6. Step 6: Final answer
    x = 157,855.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.