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Finding the Third Proportional to 45,296 and 59,192

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Solution

The third proportional to 45,296 and 59,192 is: 77,351.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,296 : 59,192 = 59,192 : x
  2. Step 2: Convert to fraction form
    45,296/59,192 = 59,192/x
  3. Step 3: Cross multiply
    45,296x = 59,192 × 59,192
  4. Step 4: Simplify right side
    45,296x = 3,503,692,864
  5. Step 5: Solve for x
    x = 3,503,692,864/45,296
  6. Step 6: Final answer
    x = 77,351.04

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.