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Finding the Third Proportional to 70,591.13 and 137,635.69

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Solution

The third proportional to 70,591.13 and 137,635.69 is: 268,356.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,591.13 : 137,635.69 = 137,635.69 : x
  2. Step 2: Convert to fraction form
    70,591.13/137,635.69 = 137,635.69/x
  3. Step 3: Cross multiply
    70,591.13x = 137,635.69 × 137,635.69
  4. Step 4: Simplify right side
    70,591.13x = 18,943,582,473.60
  5. Step 5: Solve for x
    x = 18,943,582,473.60/70,591.13
  6. Step 6: Final answer
    x = 268,356.43

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.