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Finding the Third Proportional to 67,508.44 and 147,744

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Solution

The third proportional to 67,508.44 and 147,744 is: 323,341.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,508.44 : 147,744 = 147,744 : x
  2. Step 2: Convert to fraction form
    67,508.44/147,744 = 147,744/x
  3. Step 3: Cross multiply
    67,508.44x = 147,744 × 147,744
  4. Step 4: Simplify right side
    67,508.44x = 21,828,289,536
  5. Step 5: Solve for x
    x = 21,828,289,536/67,508.44
  6. Step 6: Final answer
    x = 323,341.65

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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.