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Finding the Third Proportional to 96,026 and 145,366

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Solution

The third proportional to 96,026 and 145,366 is: 220,057.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,026 : 145,366 = 145,366 : x
  2. Step 2: Convert to fraction form
    96,026/145,366 = 145,366/x
  3. Step 3: Cross multiply
    96,026x = 145,366 × 145,366
  4. Step 4: Simplify right side
    96,026x = 21,131,273,956
  5. Step 5: Solve for x
    x = 21,131,273,956/96,026
  6. Step 6: Final answer
    x = 220,057.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.