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Finding the Third Proportional to 42,107 and 90,049

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Solution

The third proportional to 42,107 and 90,049 is: 192,576.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,107 : 90,049 = 90,049 : x
  2. Step 2: Convert to fraction form
    42,107/90,049 = 90,049/x
  3. Step 3: Cross multiply
    42,107x = 90,049 × 90,049
  4. Step 4: Simplify right side
    42,107x = 8,108,822,401
  5. Step 5: Solve for x
    x = 8,108,822,401/42,107
  6. Step 6: Final answer
    x = 192,576.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.