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Finding the Third Proportional to 43,754 and 89,354

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Solution

The third proportional to 43,754 and 89,354 is: 182,477.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,754 : 89,354 = 89,354 : x
  2. Step 2: Convert to fraction form
    43,754/89,354 = 89,354/x
  3. Step 3: Cross multiply
    43,754x = 89,354 × 89,354
  4. Step 4: Simplify right side
    43,754x = 7,984,137,316
  5. Step 5: Solve for x
    x = 7,984,137,316/43,754
  6. Step 6: Final answer
    x = 182,477.88

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.