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Finding the Third Proportional to 109,009 and 163,622

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Solution

The third proportional to 109,009 and 163,622 is: 245,595.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,009 : 163,622 = 163,622 : x
  2. Step 2: Convert to fraction form
    109,009/163,622 = 163,622/x
  3. Step 3: Cross multiply
    109,009x = 163,622 × 163,622
  4. Step 4: Simplify right side
    109,009x = 26,772,158,884
  5. Step 5: Solve for x
    x = 26,772,158,884/109,009
  6. Step 6: Final answer
    x = 245,595.86

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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.