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Finding the Third Proportional to 119,598 and 179,937

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Solution

The third proportional to 119,598 and 179,937 is: 270,717.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,598 : 179,937 = 179,937 : x
  2. Step 2: Convert to fraction form
    119,598/179,937 = 179,937/x
  3. Step 3: Cross multiply
    119,598x = 179,937 × 179,937
  4. Step 4: Simplify right side
    119,598x = 32,377,323,969
  5. Step 5: Solve for x
    x = 32,377,323,969/119,598
  6. Step 6: Final answer
    x = 270,717.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.