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Finding the Third Proportional to 98,042 and 146,331

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Solution

The third proportional to 98,042 and 146,331 is: 218,403.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,042 : 146,331 = 146,331 : x
  2. Step 2: Convert to fraction form
    98,042/146,331 = 146,331/x
  3. Step 3: Cross multiply
    98,042x = 146,331 × 146,331
  4. Step 4: Simplify right side
    98,042x = 21,412,761,561
  5. Step 5: Solve for x
    x = 21,412,761,561/98,042
  6. Step 6: Final answer
    x = 218,403.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.