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Finding the Third Proportional to 42,811.50 and 92,211

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Solution

The third proportional to 42,811.50 and 92,211 is: 198,611.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,811.50 : 92,211 = 92,211 : x
  2. Step 2: Convert to fraction form
    42,811.50/92,211 = 92,211/x
  3. Step 3: Cross multiply
    42,811.50x = 92,211 × 92,211
  4. Step 4: Simplify right side
    42,811.50x = 8,502,868,521
  5. Step 5: Solve for x
    x = 8,502,868,521/42,811.50
  6. Step 6: Final answer
    x = 198,611.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.