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Finding the Third Proportional to 98,081 and 150,281

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Solution

The third proportional to 98,081 and 150,281 is: 230,262.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,081 : 150,281 = 150,281 : x
  2. Step 2: Convert to fraction form
    98,081/150,281 = 150,281/x
  3. Step 3: Cross multiply
    98,081x = 150,281 × 150,281
  4. Step 4: Simplify right side
    98,081x = 22,584,378,961
  5. Step 5: Solve for x
    x = 22,584,378,961/98,081
  6. Step 6: Final answer
    x = 230,262.53

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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.