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Finding the Third Proportional to 109,050 and 154,644

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Solution

The third proportional to 109,050 and 154,644 is: 219,300.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,050 : 154,644 = 154,644 : x
  2. Step 2: Convert to fraction form
    109,050/154,644 = 154,644/x
  3. Step 3: Cross multiply
    109,050x = 154,644 × 154,644
  4. Step 4: Simplify right side
    109,050x = 23,914,766,736
  5. Step 5: Solve for x
    x = 23,914,766,736/109,050
  6. Step 6: Final answer
    x = 219,300.93

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.