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Finding the Third Proportional to 91,530 and 141,849

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Solution

The third proportional to 91,530 and 141,849 is: 219,831.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,530 : 141,849 = 141,849 : x
  2. Step 2: Convert to fraction form
    91,530/141,849 = 141,849/x
  3. Step 3: Cross multiply
    91,530x = 141,849 × 141,849
  4. Step 4: Simplify right side
    91,530x = 20,121,138,801
  5. Step 5: Solve for x
    x = 20,121,138,801/91,530
  6. Step 6: Final answer
    x = 219,831.08

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.