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Finding the Third Proportional to 109,599 and 164,400

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Solution

The third proportional to 109,599 and 164,400 is: 246,602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,599 : 164,400 = 164,400 : x
  2. Step 2: Convert to fraction form
    109,599/164,400 = 164,400/x
  3. Step 3: Cross multiply
    109,599x = 164,400 × 164,400
  4. Step 4: Simplify right side
    109,599x = 27,027,360,000
  5. Step 5: Solve for x
    x = 27,027,360,000/109,599
  6. Step 6: Final answer
    x = 246,602.25

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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.