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Finding the Third Proportional to 110,025 and 164,628

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Solution

The third proportional to 110,025 and 164,628 is: 246,329.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,025 : 164,628 = 164,628 : x
  2. Step 2: Convert to fraction form
    110,025/164,628 = 164,628/x
  3. Step 3: Cross multiply
    110,025x = 164,628 × 164,628
  4. Step 4: Simplify right side
    110,025x = 27,102,378,384
  5. Step 5: Solve for x
    x = 27,102,378,384/110,025
  6. Step 6: Final answer
    x = 246,329.27

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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.