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Finding the Third Proportional to 121,541.34 and 192,301.59

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Solution

The third proportional to 121,541.34 and 192,301.59 is: 304,257.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,541.34 : 192,301.59 = 192,301.59 : x
  2. Step 2: Convert to fraction form
    121,541.34/192,301.59 = 192,301.59/x
  3. Step 3: Cross multiply
    121,541.34x = 192,301.59 × 192,301.59
  4. Step 4: Simplify right side
    121,541.34x = 36,979,902,958.79
  5. Step 5: Solve for x
    x = 36,979,902,958.79/121,541.34
  6. Step 6: Final answer
    x = 304,257.81

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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.