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Finding the Third Proportional to 134,946 and 192,233.25

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Solution

The third proportional to 134,946 and 192,233.25 is: 273,840.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,946 : 192,233.25 = 192,233.25 : x
  2. Step 2: Convert to fraction form
    134,946/192,233.25 = 192,233.25/x
  3. Step 3: Cross multiply
    134,946x = 192,233.25 × 192,233.25
  4. Step 4: Simplify right side
    134,946x = 36,953,622,405.56
  5. Step 5: Solve for x
    x = 36,953,622,405.56/134,946
  6. Step 6: Final answer
    x = 273,840.07

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.