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Finding the Third Proportional to 40,105.13 and 81,182.25

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Solution

The third proportional to 40,105.13 and 81,182.25 is: 164,332.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,105.13 : 81,182.25 = 81,182.25 : x
  2. Step 2: Convert to fraction form
    40,105.13/81,182.25 = 81,182.25/x
  3. Step 3: Cross multiply
    40,105.13x = 81,182.25 × 81,182.25
  4. Step 4: Simplify right side
    40,105.13x = 6,590,557,715.06
  5. Step 5: Solve for x
    x = 6,590,557,715.06/40,105.13
  6. Step 6: Final answer
    x = 164,332.06

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.