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Finding the Third Proportional to 109,611 and 164,417

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Solution

The third proportional to 109,611 and 164,417 is: 246,626.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,611 : 164,417 = 164,417 : x
  2. Step 2: Convert to fraction form
    109,611/164,417 = 164,417/x
  3. Step 3: Cross multiply
    109,611x = 164,417 × 164,417
  4. Step 4: Simplify right side
    109,611x = 27,032,949,889
  5. Step 5: Solve for x
    x = 27,032,949,889/109,611
  6. Step 6: Final answer
    x = 246,626.25

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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.