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Finding the Third Proportional to 98,018 and 138,033

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Solution

The third proportional to 98,018 and 138,033 is: 194,383.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,018 : 138,033 = 138,033 : x
  2. Step 2: Convert to fraction form
    98,018/138,033 = 138,033/x
  3. Step 3: Cross multiply
    98,018x = 138,033 × 138,033
  4. Step 4: Simplify right side
    98,018x = 19,053,109,089
  5. Step 5: Solve for x
    x = 19,053,109,089/98,018
  6. Step 6: Final answer
    x = 194,383.78

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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.