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Finding the Third Proportional to 42,150 and 90,834

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Solution

The third proportional to 42,150 and 90,834 is: 195,748.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,150 : 90,834 = 90,834 : x
  2. Step 2: Convert to fraction form
    42,150/90,834 = 90,834/x
  3. Step 3: Cross multiply
    42,150x = 90,834 × 90,834
  4. Step 4: Simplify right side
    42,150x = 8,250,815,556
  5. Step 5: Solve for x
    x = 8,250,815,556/42,150
  6. Step 6: Final answer
    x = 195,748.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.