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Finding the Third Proportional to 90,344 and 132,276

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Solution

The third proportional to 90,344 and 132,276 is: 193,670.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,344 : 132,276 = 132,276 : x
  2. Step 2: Convert to fraction form
    90,344/132,276 = 132,276/x
  3. Step 3: Cross multiply
    90,344x = 132,276 × 132,276
  4. Step 4: Simplify right side
    90,344x = 17,496,940,176
  5. Step 5: Solve for x
    x = 17,496,940,176/90,344
  6. Step 6: Final answer
    x = 193,670.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.