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Finding the Third Proportional to 127,151.44 and 192,364.03

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Solution

The third proportional to 127,151.44 and 192,364.03 is: 291,022.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,151.44 : 192,364.03 = 192,364.03 : x
  2. Step 2: Convert to fraction form
    127,151.44/192,364.03 = 192,364.03/x
  3. Step 3: Cross multiply
    127,151.44x = 192,364.03 × 192,364.03
  4. Step 4: Simplify right side
    127,151.44x = 37,003,920,518.75
  5. Step 5: Solve for x
    x = 37,003,920,518.75/127,151.44
  6. Step 6: Final answer
    x = 291,022.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.