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Finding the Third Proportional to 73,224 and 109,548

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Solution

The third proportional to 73,224 and 109,548 is: 163,891.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,224 : 109,548 = 109,548 : x
  2. Step 2: Convert to fraction form
    73,224/109,548 = 109,548/x
  3. Step 3: Cross multiply
    73,224x = 109,548 × 109,548
  4. Step 4: Simplify right side
    73,224x = 12,000,764,304
  5. Step 5: Solve for x
    x = 12,000,764,304/73,224
  6. Step 6: Final answer
    x = 163,891.13

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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.