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Finding the Third Proportional to 132,247.13 and 192,831.75

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Solution

The third proportional to 132,247.13 and 192,831.75 is: 281,171.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,247.13 : 192,831.75 = 192,831.75 : x
  2. Step 2: Convert to fraction form
    132,247.13/192,831.75 = 192,831.75/x
  3. Step 3: Cross multiply
    132,247.13x = 192,831.75 × 192,831.75
  4. Step 4: Simplify right side
    132,247.13x = 37,184,083,808.06
  5. Step 5: Solve for x
    x = 37,184,083,808.06/132,247.13
  6. Step 6: Final answer
    x = 281,171.21

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.