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Finding the Third Proportional to 109,331 and 164,333

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Solution

The third proportional to 109,331 and 164,333 is: 247,005.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,331 : 164,333 = 164,333 : x
  2. Step 2: Convert to fraction form
    109,331/164,333 = 164,333/x
  3. Step 3: Cross multiply
    109,331x = 164,333 × 164,333
  4. Step 4: Simplify right side
    109,331x = 27,005,334,889
  5. Step 5: Solve for x
    x = 27,005,334,889/109,331
  6. Step 6: Final answer
    x = 247,005.29

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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.