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Finding the Third Proportional to 70,920 and 111,252

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Solution

The third proportional to 70,920 and 111,252 is: 174,520.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,920 : 111,252 = 111,252 : x
  2. Step 2: Convert to fraction form
    70,920/111,252 = 111,252/x
  3. Step 3: Cross multiply
    70,920x = 111,252 × 111,252
  4. Step 4: Simplify right side
    70,920x = 12,377,007,504
  5. Step 5: Solve for x
    x = 12,377,007,504/70,920
  6. Step 6: Final answer
    x = 174,520.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.