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Finding the Third Proportional to 60,512 and 84,638

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Solution

The third proportional to 60,512 and 84,638 is: 118,382.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,512 : 84,638 = 84,638 : x
  2. Step 2: Convert to fraction form
    60,512/84,638 = 84,638/x
  3. Step 3: Cross multiply
    60,512x = 84,638 × 84,638
  4. Step 4: Simplify right side
    60,512x = 7,163,591,044
  5. Step 5: Solve for x
    x = 7,163,591,044/60,512
  6. Step 6: Final answer
    x = 118,382.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.