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Finding the Third Proportional to 82,003.01 and 133,904.39

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Solution

The third proportional to 82,003.01 and 133,904.39 is: 218,655.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,003.01 : 133,904.39 = 133,904.39 : x
  2. Step 2: Convert to fraction form
    82,003.01/133,904.39 = 133,904.39/x
  3. Step 3: Cross multiply
    82,003.01x = 133,904.39 × 133,904.39
  4. Step 4: Simplify right side
    82,003.01x = 17,930,385,828.65
  5. Step 5: Solve for x
    x = 17,930,385,828.65/82,003.01
  6. Step 6: Final answer
    x = 218,655.22

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.