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Finding the Third Proportional to 108,285 and 147,519

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Solution

The third proportional to 108,285 and 147,519 is: 200,968.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,285 : 147,519 = 147,519 : x
  2. Step 2: Convert to fraction form
    108,285/147,519 = 147,519/x
  3. Step 3: Cross multiply
    108,285x = 147,519 × 147,519
  4. Step 4: Simplify right side
    108,285x = 21,761,855,361
  5. Step 5: Solve for x
    x = 21,761,855,361/108,285
  6. Step 6: Final answer
    x = 200,968.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.