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Finding the Third Proportional to 84,611.50 and 112,314

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Solution

The third proportional to 84,611.50 and 112,314 is: 149,086.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,611.50 : 112,314 = 112,314 : x
  2. Step 2: Convert to fraction form
    84,611.50/112,314 = 112,314/x
  3. Step 3: Cross multiply
    84,611.50x = 112,314 × 112,314
  4. Step 4: Simplify right side
    84,611.50x = 12,614,434,596
  5. Step 5: Solve for x
    x = 12,614,434,596/84,611.50
  6. Step 6: Final answer
    x = 149,086.53

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.