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Finding the Third Proportional to 92,286 and 131,965.88

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Solution

The third proportional to 92,286 and 131,965.88 is: 188,706.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,286 : 131,965.88 = 131,965.88 : x
  2. Step 2: Convert to fraction form
    92,286/131,965.88 = 131,965.88/x
  3. Step 3: Cross multiply
    92,286x = 131,965.88 × 131,965.88
  4. Step 4: Simplify right side
    92,286x = 17,414,992,164.52
  5. Step 5: Solve for x
    x = 17,414,992,164.52/92,286
  6. Step 6: Final answer
    x = 188,706.76

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.