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Finding the Third Proportional to 128,042 and 193,833

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Solution

The third proportional to 128,042 and 193,833 is: 293,428.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,042 : 193,833 = 193,833 : x
  2. Step 2: Convert to fraction form
    128,042/193,833 = 193,833/x
  3. Step 3: Cross multiply
    128,042x = 193,833 × 193,833
  4. Step 4: Simplify right side
    128,042x = 37,571,231,889
  5. Step 5: Solve for x
    x = 37,571,231,889/128,042
  6. Step 6: Final answer
    x = 293,428.97

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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.