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Finding the Third Proportional to 109,426 and 164,247

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Solution

The third proportional to 109,426 and 164,247 is: 246,532.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,426 : 164,247 = 164,247 : x
  2. Step 2: Convert to fraction form
    109,426/164,247 = 164,247/x
  3. Step 3: Cross multiply
    109,426x = 164,247 × 164,247
  4. Step 4: Simplify right side
    109,426x = 26,977,077,009
  5. Step 5: Solve for x
    x = 26,977,077,009/109,426
  6. Step 6: Final answer
    x = 246,532.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.