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Finding the Third Proportional to 74,066.06 and 164,147.06

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Solution

The third proportional to 74,066.06 and 164,147.06 is: 363,786.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,066.06 : 164,147.06 = 164,147.06 : x
  2. Step 2: Convert to fraction form
    74,066.06/164,147.06 = 164,147.06/x
  3. Step 3: Cross multiply
    74,066.06x = 164,147.06 × 164,147.06
  4. Step 4: Simplify right side
    74,066.06x = 26,944,258,127.38
  5. Step 5: Solve for x
    x = 26,944,258,127.38/74,066.06
  6. Step 6: Final answer
    x = 363,786.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.