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Finding the Third Proportional to 73,590 and 159,982

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Solution

The third proportional to 73,590 and 159,982 is: 347,795.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,590 : 159,982 = 159,982 : x
  2. Step 2: Convert to fraction form
    73,590/159,982 = 159,982/x
  3. Step 3: Cross multiply
    73,590x = 159,982 × 159,982
  4. Step 4: Simplify right side
    73,590x = 25,594,240,324
  5. Step 5: Solve for x
    x = 25,594,240,324/73,590
  6. Step 6: Final answer
    x = 347,795.09

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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.