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Finding the Third Proportional to 76,872.75 and 168,880.13

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Solution

The third proportional to 76,872.75 and 168,880.13 is: 371,009.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,872.75 : 168,880.13 = 168,880.13 : x
  2. Step 2: Convert to fraction form
    76,872.75/168,880.13 = 168,880.13/x
  3. Step 3: Cross multiply
    76,872.75x = 168,880.13 × 168,880.13
  4. Step 4: Simplify right side
    76,872.75x = 28,520,496,620.02
  5. Step 5: Solve for x
    x = 28,520,496,620.02/76,872.75
  6. Step 6: Final answer
    x = 371,009.19

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.