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Finding the Third Proportional to 98,544 and 150,276

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Solution

The third proportional to 98,544 and 150,276 is: 229,165.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,544 : 150,276 = 150,276 : x
  2. Step 2: Convert to fraction form
    98,544/150,276 = 150,276/x
  3. Step 3: Cross multiply
    98,544x = 150,276 × 150,276
  4. Step 4: Simplify right side
    98,544x = 22,582,876,176
  5. Step 5: Solve for x
    x = 22,582,876,176/98,544
  6. Step 6: Final answer
    x = 229,165.41

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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.