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Finding the Third Proportional to 45,189 and 60,372

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Solution

The third proportional to 45,189 and 60,372 is: 80,656.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,189 : 60,372 = 60,372 : x
  2. Step 2: Convert to fraction form
    45,189/60,372 = 60,372/x
  3. Step 3: Cross multiply
    45,189x = 60,372 × 60,372
  4. Step 4: Simplify right side
    45,189x = 3,644,778,384
  5. Step 5: Solve for x
    x = 3,644,778,384/45,189
  6. Step 6: Final answer
    x = 80,656.32

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.