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Finding the Third Proportional to 119,946 and 175,311

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Solution

The third proportional to 119,946 and 175,311 is: 256,231.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,946 : 175,311 = 175,311 : x
  2. Step 2: Convert to fraction form
    119,946/175,311 = 175,311/x
  3. Step 3: Cross multiply
    119,946x = 175,311 × 175,311
  4. Step 4: Simplify right side
    119,946x = 30,733,946,721
  5. Step 5: Solve for x
    x = 30,733,946,721/119,946
  6. Step 6: Final answer
    x = 256,231.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.