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Finding the Third Proportional to 74,702 and 163,372

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Solution

The third proportional to 74,702 and 163,372 is: 357,291.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,702 : 163,372 = 163,372 : x
  2. Step 2: Convert to fraction form
    74,702/163,372 = 163,372/x
  3. Step 3: Cross multiply
    74,702x = 163,372 × 163,372
  4. Step 4: Simplify right side
    74,702x = 26,690,410,384
  5. Step 5: Solve for x
    x = 26,690,410,384/74,702
  6. Step 6: Final answer
    x = 357,291.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.