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Finding the Third Proportional to 109,890 and 164,762

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Solution

The third proportional to 109,890 and 164,762 is: 247,033.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,890 : 164,762 = 164,762 : x
  2. Step 2: Convert to fraction form
    109,890/164,762 = 164,762/x
  3. Step 3: Cross multiply
    109,890x = 164,762 × 164,762
  4. Step 4: Simplify right side
    109,890x = 27,146,516,644
  5. Step 5: Solve for x
    x = 27,146,516,644/109,890
  6. Step 6: Final answer
    x = 247,033.55

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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.