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Finding the Third Proportional to 60,512 and 162,578

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Solution

The third proportional to 60,512 and 162,578 is: 436,799.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,512 : 162,578 = 162,578 : x
  2. Step 2: Convert to fraction form
    60,512/162,578 = 162,578/x
  3. Step 3: Cross multiply
    60,512x = 162,578 × 162,578
  4. Step 4: Simplify right side
    60,512x = 26,431,606,084
  5. Step 5: Solve for x
    x = 26,431,606,084/60,512
  6. Step 6: Final answer
    x = 436,799.41

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.