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Finding the Third Proportional to 57,180.94 and 118,394.16

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Solution

The third proportional to 57,180.94 and 118,394.16 is: 245,137.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,180.94 : 118,394.16 = 118,394.16 : x
  2. Step 2: Convert to fraction form
    57,180.94/118,394.16 = 118,394.16/x
  3. Step 3: Cross multiply
    57,180.94x = 118,394.16 × 118,394.16
  4. Step 4: Simplify right side
    57,180.94x = 14,017,176,234.15
  5. Step 5: Solve for x
    x = 14,017,176,234.15/57,180.94
  6. Step 6: Final answer
    x = 245,137.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.