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Finding the Third Proportional to 109,104.25 and 169,331.25

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Solution

The third proportional to 109,104.25 and 169,331.25 is: 262,804.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,104.25 : 169,331.25 = 169,331.25 : x
  2. Step 2: Convert to fraction form
    109,104.25/169,331.25 = 169,331.25/x
  3. Step 3: Cross multiply
    109,104.25x = 169,331.25 × 169,331.25
  4. Step 4: Simplify right side
    109,104.25x = 28,673,072,226.56
  5. Step 5: Solve for x
    x = 28,673,072,226.56/109,104.25
  6. Step 6: Final answer
    x = 262,804.36

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.