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Finding the Third Proportional to 109,393 and 163,906

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Solution

The third proportional to 109,393 and 163,906 is: 245,584.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,393 : 163,906 = 163,906 : x
  2. Step 2: Convert to fraction form
    109,393/163,906 = 163,906/x
  3. Step 3: Cross multiply
    109,393x = 163,906 × 163,906
  4. Step 4: Simplify right side
    109,393x = 26,865,176,836
  5. Step 5: Solve for x
    x = 26,865,176,836/109,393
  6. Step 6: Final answer
    x = 245,584.06

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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.