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Finding the Third Proportional to 98,028 and 138,048

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Solution

The third proportional to 98,028 and 138,048 is: 194,406.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,028 : 138,048 = 138,048 : x
  2. Step 2: Convert to fraction form
    98,028/138,048 = 138,048/x
  3. Step 3: Cross multiply
    98,028x = 138,048 × 138,048
  4. Step 4: Simplify right side
    98,028x = 19,057,250,304
  5. Step 5: Solve for x
    x = 19,057,250,304/98,028
  6. Step 6: Final answer
    x = 194,406.19

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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.