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Finding the Third Proportional to 90,244 and 132,287

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Solution

The third proportional to 90,244 and 132,287 is: 193,917.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,244 : 132,287 = 132,287 : x
  2. Step 2: Convert to fraction form
    90,244/132,287 = 132,287/x
  3. Step 3: Cross multiply
    90,244x = 132,287 × 132,287
  4. Step 4: Simplify right side
    90,244x = 17,499,850,369
  5. Step 5: Solve for x
    x = 17,499,850,369/90,244
  6. Step 6: Final answer
    x = 193,917.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.