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Finding the Third Proportional to 96,002 and 131,838

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Solution

The third proportional to 96,002 and 131,838 is: 181,051.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,002 : 131,838 = 131,838 : x
  2. Step 2: Convert to fraction form
    96,002/131,838 = 131,838/x
  3. Step 3: Cross multiply
    96,002x = 131,838 × 131,838
  4. Step 4: Simplify right side
    96,002x = 17,381,258,244
  5. Step 5: Solve for x
    x = 17,381,258,244/96,002
  6. Step 6: Final answer
    x = 181,051.00

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.