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Finding the Third Proportional to 109,382.81 and 168,741

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Solution

The third proportional to 109,382.81 and 168,741 is: 260,310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,382.81 : 168,741 = 168,741 : x
  2. Step 2: Convert to fraction form
    109,382.81/168,741 = 168,741/x
  3. Step 3: Cross multiply
    109,382.81x = 168,741 × 168,741
  4. Step 4: Simplify right side
    109,382.81x = 28,473,525,081
  5. Step 5: Solve for x
    x = 28,473,525,081/109,382.81
  6. Step 6: Final answer
    x = 260,310.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.