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Finding the Third Proportional to 81,111.38 and 120,995.02

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Solution

The third proportional to 81,111.38 and 120,995.02 is: 180,490.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,111.38 : 120,995.02 = 120,995.02 : x
  2. Step 2: Convert to fraction form
    81,111.38/120,995.02 = 120,995.02/x
  3. Step 3: Cross multiply
    81,111.38x = 120,995.02 × 120,995.02
  4. Step 4: Simplify right side
    81,111.38x = 14,639,793,806.09
  5. Step 5: Solve for x
    x = 14,639,793,806.09/81,111.38
  6. Step 6: Final answer
    x = 180,490.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.