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Finding the Third Proportional to 67,504 and 103,902

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Solution

The third proportional to 67,504 and 103,902 is: 159,925.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,504 : 103,902 = 103,902 : x
  2. Step 2: Convert to fraction form
    67,504/103,902 = 103,902/x
  3. Step 3: Cross multiply
    67,504x = 103,902 × 103,902
  4. Step 4: Simplify right side
    67,504x = 10,795,625,604
  5. Step 5: Solve for x
    x = 10,795,625,604/67,504
  6. Step 6: Final answer
    x = 159,925.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.