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Finding the Third Proportional to 98,568 and 150,291

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Solution

The third proportional to 98,568 and 150,291 is: 229,155.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,568 : 150,291 = 150,291 : x
  2. Step 2: Convert to fraction form
    98,568/150,291 = 150,291/x
  3. Step 3: Cross multiply
    98,568x = 150,291 × 150,291
  4. Step 4: Simplify right side
    98,568x = 22,587,384,681
  5. Step 5: Solve for x
    x = 22,587,384,681/98,568
  6. Step 6: Final answer
    x = 229,155.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.