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Finding the Third Proportional to 92,223 and 141,954.75

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Solution

The third proportional to 92,223 and 141,954.75 is: 218,504.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,223 : 141,954.75 = 141,954.75 : x
  2. Step 2: Convert to fraction form
    92,223/141,954.75 = 141,954.75/x
  3. Step 3: Cross multiply
    92,223x = 141,954.75 × 141,954.75
  4. Step 4: Simplify right side
    92,223x = 20,151,151,047.56
  5. Step 5: Solve for x
    x = 20,151,151,047.56/92,223
  6. Step 6: Final answer
    x = 218,504.61

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.