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Finding the Third Proportional to 110,203.50 and 187,722

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Solution

The third proportional to 110,203.50 and 187,722 is: 319,767.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,203.50 : 187,722 = 187,722 : x
  2. Step 2: Convert to fraction form
    110,203.50/187,722 = 187,722/x
  3. Step 3: Cross multiply
    110,203.50x = 187,722 × 187,722
  4. Step 4: Simplify right side
    110,203.50x = 35,239,549,284
  5. Step 5: Solve for x
    x = 35,239,549,284/110,203.50
  6. Step 6: Final answer
    x = 319,767.97

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.