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Finding the Third Proportional to 110,392.50 and 174,891

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Solution

The third proportional to 110,392.50 and 174,891 is: 277,073.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,392.50 : 174,891 = 174,891 : x
  2. Step 2: Convert to fraction form
    110,392.50/174,891 = 174,891/x
  3. Step 3: Cross multiply
    110,392.50x = 174,891 × 174,891
  4. Step 4: Simplify right side
    110,392.50x = 30,586,861,881
  5. Step 5: Solve for x
    x = 30,586,861,881/110,392.50
  6. Step 6: Final answer
    x = 277,073.73

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.