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Finding the Third Proportional to 73,488 and 159,504

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Solution

The third proportional to 73,488 and 159,504 is: 346,199.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,488 : 159,504 = 159,504 : x
  2. Step 2: Convert to fraction form
    73,488/159,504 = 159,504/x
  3. Step 3: Cross multiply
    73,488x = 159,504 × 159,504
  4. Step 4: Simplify right side
    73,488x = 25,441,526,016
  5. Step 5: Solve for x
    x = 25,441,526,016/73,488
  6. Step 6: Final answer
    x = 346,199.73

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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.