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Finding the Third Proportional to 109,908 and 164,421

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Solution

The third proportional to 109,908 and 164,421 is: 245,971.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,908 : 164,421 = 164,421 : x
  2. Step 2: Convert to fraction form
    109,908/164,421 = 164,421/x
  3. Step 3: Cross multiply
    109,908x = 164,421 × 164,421
  4. Step 4: Simplify right side
    109,908x = 27,034,265,241
  5. Step 5: Solve for x
    x = 27,034,265,241/109,908
  6. Step 6: Final answer
    x = 245,971.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.