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Finding the Third Proportional to 98,024 and 138,042

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Solution

The third proportional to 98,024 and 138,042 is: 194,397.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,024 : 138,042 = 138,042 : x
  2. Step 2: Convert to fraction form
    98,024/138,042 = 138,042/x
  3. Step 3: Cross multiply
    98,024x = 138,042 × 138,042
  4. Step 4: Simplify right side
    98,024x = 19,055,593,764
  5. Step 5: Solve for x
    x = 19,055,593,764/98,024
  6. Step 6: Final answer
    x = 194,397.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.