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Finding the Third Proportional to 74,226 and 164,004

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Solution

The third proportional to 74,226 and 164,004 is: 362,370.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,226 : 164,004 = 164,004 : x
  2. Step 2: Convert to fraction form
    74,226/164,004 = 164,004/x
  3. Step 3: Cross multiply
    74,226x = 164,004 × 164,004
  4. Step 4: Simplify right side
    74,226x = 26,897,312,016
  5. Step 5: Solve for x
    x = 26,897,312,016/74,226
  6. Step 6: Final answer
    x = 362,370.49

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.