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Finding the Third Proportional to 98,189 and 150,139

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Solution

The third proportional to 98,189 and 150,139 is: 229,574.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,189 : 150,139 = 150,139 : x
  2. Step 2: Convert to fraction form
    98,189/150,139 = 150,139/x
  3. Step 3: Cross multiply
    98,189x = 150,139 × 150,139
  4. Step 4: Simplify right side
    98,189x = 22,541,719,321
  5. Step 5: Solve for x
    x = 22,541,719,321/98,189
  6. Step 6: Final answer
    x = 229,574.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.