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Finding the Third Proportional to 67,491.50 and 147,695

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Solution

The third proportional to 67,491.50 and 147,695 is: 323,208.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,491.50 : 147,695 = 147,695 : x
  2. Step 2: Convert to fraction form
    67,491.50/147,695 = 147,695/x
  3. Step 3: Cross multiply
    67,491.50x = 147,695 × 147,695
  4. Step 4: Simplify right side
    67,491.50x = 21,813,813,025
  5. Step 5: Solve for x
    x = 21,813,813,025/67,491.50
  6. Step 6: Final answer
    x = 323,208.30

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.