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Finding the Third Proportional to 109,126 and 164,661

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Solution

The third proportional to 109,126 and 164,661 is: 248,458.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,126 : 164,661 = 164,661 : x
  2. Step 2: Convert to fraction form
    109,126/164,661 = 164,661/x
  3. Step 3: Cross multiply
    109,126x = 164,661 × 164,661
  4. Step 4: Simplify right side
    109,126x = 27,113,244,921
  5. Step 5: Solve for x
    x = 27,113,244,921/109,126
  6. Step 6: Final answer
    x = 248,458.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.