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Finding the Third Proportional to 42,256 and 90,704

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Solution

The third proportional to 42,256 and 90,704 is: 194,699.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,256 : 90,704 = 90,704 : x
  2. Step 2: Convert to fraction form
    42,256/90,704 = 90,704/x
  3. Step 3: Cross multiply
    42,256x = 90,704 × 90,704
  4. Step 4: Simplify right side
    42,256x = 8,227,215,616
  5. Step 5: Solve for x
    x = 8,227,215,616/42,256
  6. Step 6: Final answer
    x = 194,699.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.