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Finding the Third Proportional to 80,029.69 and 169,916.06

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Solution

The third proportional to 80,029.69 and 169,916.06 is: 360,759.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,029.69 : 169,916.06 = 169,916.06 : x
  2. Step 2: Convert to fraction form
    80,029.69/169,916.06 = 169,916.06/x
  3. Step 3: Cross multiply
    80,029.69x = 169,916.06 × 169,916.06
  4. Step 4: Simplify right side
    80,029.69x = 28,871,468,295.50
  5. Step 5: Solve for x
    x = 28,871,468,295.50/80,029.69
  6. Step 6: Final answer
    x = 360,759.48

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.