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Finding the Third Proportional to 103,474 and 164,121

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Solution

The third proportional to 103,474 and 164,121 is: 260,313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,474 : 164,121 = 164,121 : x
  2. Step 2: Convert to fraction form
    103,474/164,121 = 164,121/x
  3. Step 3: Cross multiply
    103,474x = 164,121 × 164,121
  4. Step 4: Simplify right side
    103,474x = 26,935,702,641
  5. Step 5: Solve for x
    x = 26,935,702,641/103,474
  6. Step 6: Final answer
    x = 260,313.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.